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23032211223032 = 23111765923362463
BaseRepresentation
bin1010011110010100110101…
…10001001011000111111000
310000112212011101211110020022
411033022122301023013320
511004324432033114112
6120552503551550012
74565010444116144
oct517123261130770
9100485141743208
1023032211223032
11737a9a68723a0
1226bb968b2b308
13cb0c0b33980b
14598a9d11c224
1529e1c23dad72
hex14f29ac4b1f8

23032211223032 has 64 divisors (see below), whose sum is σ = 49958293017600. Its totient is φ = 9838399997440.

The previous prime is 23032211223031. The next prime is 23032211223037.

23032211223032 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×230322112230322 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23032211222992 and 23032211223010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23032211223031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10695368 + ... + 12667095.

It is an arithmetic number, because the mean of its divisors is an integer number (780598328400).

Almost surely, 223032211223032 is an apocalyptic number.

23032211223032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23032211223032 is an abundant number, since it is smaller than the sum of its proper divisors (26926081794568).

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

23032211223032 is a wasteful number, since it uses less digits than its factorization.

23032211223032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23363156 (or 23363152 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

It can be divided in two parts, 2303221 and 1223032, that added together give a palindrome (3526253).

The spelling of 23032211223032 in words is "twenty-three trillion, thirty-two billion, two hundred eleven million, two hundred twenty-three thousand, thirty-two".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 136 187 374 659 748 1318 1496 2636 5272 7249 11203 14498 22406 28996 44812 57992 89624 123233 246466 492932 985864 23362463 46724926 93449852 186899704 256987093 397161871 513974186 794323742 1027948372 1588647484 2055896744 3177294968 4368780581 8737561162 15395863117 17475122324 30791726234 34950244648 61583452468 123166904936 169354494287 261729672989 338708988574 523459345978 677417977148 1046918691956 1354835954296 2093837383912 2879026402879 5758052805758 11516105611516 23032211223032