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23212200221232 = 24311371796637853
BaseRepresentation
bin1010100011100100000101…
…11100101101101000110000
310001012001202010212220211220
411101302002330231220300
511020302041224034412
6121211312040505040
74614011650265061
oct521620274555060
9101161663786756
1023212200221232
11743a26997a780
12272a81aa7b180
13cc4b938cb509
145a3695692568
152a3c08b6e68c
hex151c82f2da30

23212200221232 has 160 divisors (see below), whose sum is σ = 67559546983680. Its totient is φ = 6805656898560.

The previous prime is 23212200221227. The next prime is 23212200221237.

23212200221232 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (23212200221227) and next prime (23212200221237).

It is a super-2 number, since 2×232122002212322 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (23212200221237) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178018 + ... + 6815870.

It is an arithmetic number, because the mean of its divisors is an integer number (422247168648).

Almost surely, 223212200221232 is an apocalyptic number.

23212200221232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23212200221232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33779773491840).

23212200221232 is an abundant number, since it is smaller than the sum of its proper divisors (44347346762448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23212200221232 is a wasteful number, since it uses less digits than its factorization.

23212200221232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6638091 (or 6638085 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 23212200 and 221232, that added together give a palindrome (23433432).

The spelling of 23212200221232 in words is "twenty-three trillion, two hundred twelve billion, two hundred million, two hundred twenty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 37 44 48 66 74 88 111 132 148 176 179 222 264 296 358 407 444 528 537 592 716 814 888 1074 1221 1432 1628 1776 1969 2148 2442 2864 3256 3938 4296 4884 5907 6512 6623 7876 8592 9768 11814 13246 15752 19536 19869 23628 26492 31504 39738 47256 52984 72853 79476 94512 105968 145706 158952 218559 291412 317904 437118 582824 874236 1165648 1748472 3496944 6637853 13275706 19913559 26551412 39827118 53102824 73016383 79654236 106205648 146032766 159308472 219049149 245600561 292065532 318616944 438098298 491201122 584131064 736801683 876196596 982402244 1168262128 1188175687 1473603366 1752393192 1964804488 2376351374 2701606171 2947206732 3504786384 3564527061 3929608976 4752702748 5403212342 5894413464 7129054122 8104818513 9505405496 10806424684 11788826928 13069932557 14258108244 16209637026 19010810992 21612849368 26139865114 28516216488 32419274052 39209797671 43225698736 43962500419 52279730228 57032432976 64838548104 78419595342 87925000838 104559460456 129677096208 131887501257 156839190684 175850001676 209118920912 263775002514 313678381368 351700003352 483587504609 527550005028 627356762736 703400006704 967175009218 1055100010056 1450762513827 1934350018436 2110200020112 2901525027654 3868700036872 5803050055308 7737400073744 11606100110616 23212200221232