Search a number
-
+
22531332432 = 243717313649
BaseRepresentation
bin10100111110111110…
…001101100101010000
32011011020200021112210
4110332332031211100
5332121010114212
614203432352120
71425230110560
oct247676154520
964136607483
1022531332432
1196123935a4
124449845640
132180c5768b
14113a570da0
158bd0d553c
hex53ef8d950

22531332432 has 160 divisors (see below), whose sum is σ = 70682976000. Its totient is φ = 6058401792.

The previous prime is 22531332409. The next prime is 22531332437. The reversal of 22531332432 is 23423313522.

It is a happy number.

It is a super-2 number, since 2×225313324322 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22531332432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22531332437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1643944 + ... + 1657592.

It is an arithmetic number, because the mean of its divisors is an integer number (441768600).

Almost surely, 222531332432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22531332432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35341488000).

22531332432 is an abundant number, since it is smaller than the sum of its proper divisors (48151643568).

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

22531332432 is a wasteful number, since it uses less digits than its factorization.

22531332432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13718 (or 13678 counting only the distinct ones).

The product of its digits is 25920, while the sum is 30.

Adding to 22531332432 its reverse (23423313522), we get a palindrome (45954645954).

The spelling of 22531332432 in words is "twenty-two billion, five hundred thirty-one million, three hundred thirty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 68 84 102 112 119 136 168 204 238 272 289 336 357 408 476 578 714 816 867 952 1156 1428 1734 1904 2023 2312 2856 3468 4046 4624 4913 5712 6069 6936 8092 9826 12138 13649 13872 14739 16184 19652 24276 27298 29478 32368 34391 39304 40947 48552 54596 58956 68782 78608 81894 95543 97104 103173 109192 117912 137564 163788 191086 206346 218384 232033 235824 275128 286629 327576 382172 412692 464066 550256 573258 655152 696099 764344 825384 928132 1146516 1392198 1528688 1624231 1650768 1856264 2293032 2784396 3248462 3712528 3944561 4586064 4872693 5568792 6496924 7889122 9745386 11137584 11833683 12993848 15778244 19490772 23667366 25987696 27611927 31556488 38981544 47334732 55223854 63112976 67057537 77963088 82835781 94669464 110447708 134115074 165671562 189338928 201172611 220895416 268230148 331343124 402345222 441790832 469402759 536460296 662686248 804690444 938805518 1072920592 1325372496 1408208277 1609380888 1877611036 2816416554 3218761776 3755222072 5632833108 7510444144 11265666216 22531332432