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23221111112232 = 2331133797191449
BaseRepresentation
bin1010100011110100101100…
…00101000100001000101000
310001012220202011022002021220
411101322112011010020220
511020423313421042412
6121215344200102040
74614445531514115
oct521722605041050
9101186664262256
1023221111112232
117443021939000
1227304a7164920
13cc5983a7c297
145a3c9cd0d90c
152a407b0e868c
hex151e96144228

23221111112232 has 128 divisors (see below), whose sum is σ = 63870844464000. Its totient is φ = 7034810365440.

The previous prime is 23221111112201. The next prime is 23221111112263.

23221111112232 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (23221111112201) and next prime (23221111112263).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121195644 + ... + 121387092.

It is an arithmetic number, because the mean of its divisors is an integer number (498990972375).

Almost surely, 223221111112232 is an apocalyptic number.

23221111112232 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 23221111112232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31935422232000).

23221111112232 is an abundant number, since it is smaller than the sum of its proper divisors (40649733351768).

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

23221111112232 is a wasteful number, since it uses less digits than its factorization.

23221111112232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195288 (or 195262 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

It can be divided in two parts, 2322111 and 1112232, that added together give a palindrome (3434343).

The spelling of 23221111112232 in words is "twenty-three trillion, two hundred twenty-one billion, one hundred eleven million, one hundred twelve thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 363 484 726 968 1331 1452 2662 2904 3797 3993 5324 7594 7986 10648 11391 15188 15972 22782 30376 31944 41767 45564 83534 91128 125301 167068 191449 250602 334136 382898 459437 501204 574347 765796 918874 1002408 1148694 1378311 1531592 1837748 2105939 2297388 2756622 3675496 4211878 4594776 5053807 5513244 6317817 8423756 10107614 11026488 12635634 15161421 16847512 20215228 23165329 25271268 30322842 40430456 46330658 50542536 60645684 69495987 92661316 121291368 138991974 185322632 254818619 277983948 509637238 555967896 726931853 764455857 1019274476 1453863706 1528911714 2038548952 2180795559 2907727412 3057823428 4361591118 5815454824 6115646856 7996250383 8723182236 15992500766 17446364472 23988751149 31985001532 47977502298 63970003064 87958754213 95955004596 175917508426 191910009192 263876262639 351835016852 527752525278 703670033704 967546296343 1055505050556 1935092592686 2111010101112 2902638889029 3870185185372 5805277778058 7740370370744 11610555556116 23221111112232