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23230011003232 = 2511619471142423
BaseRepresentation
bin1010100100000101010001…
…00011011101000101100000
310001020202201102000101120111
411102002220203131011200
511021100030304100412
6121223415243421104
74615212220400155
oct522025043350540
9101222642011514
1023230011003232
117446879673920
12273216b824794
13cc677187b287
145a44a4d0622c
152a43ec5ed2a7
hex1520a88dd160

23230011003232 has 96 divisors (see below), whose sum is σ = 50763217446144. Its totient is φ = 10375019635200.

The previous prime is 23230011003193. The next prime is 23230011003299.

23230011003232 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×232300110032322 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 19762773 + ... + 20905195.

It is an arithmetic number, because the mean of its divisors is an integer number (528783515064).

Almost surely, 223230011003232 is an apocalyptic number.

23230011003232 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 23230011003232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25381608723072).

23230011003232 is an abundant number, since it is smaller than the sum of its proper divisors (27533206442912).

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

23230011003232 is a wasteful number, since it uses less digits than its factorization.

23230011003232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143452 (or 1143444 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

It can be divided in two parts, 2323001 and 1003232, that added together give a palindrome (3326233).

The spelling of 23230011003232 in words is "twenty-three trillion, two hundred thirty billion, eleven million, three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 61 88 122 176 244 352 488 671 947 976 1342 1894 1952 2684 3788 5368 7576 10417 10736 15152 20834 21472 30304 41668 57767 83336 115534 166672 231068 333344 462136 635437 924272 1142423 1270874 1848544 2284846 2541748 4569692 5083496 9139384 10166992 12566653 18278768 20333984 25133306 36557536 50266612 69687803 100533224 139375606 201066448 278751212 402132896 557502424 766565833 1081874581 1115004848 1533131666 2163749162 2230009696 3066263332 4327498324 6132526664 8654996648 11900620391 12265053328 17309993296 23801240782 24530106656 34619986592 47602481564 65994349441 95204963128 131988698882 190409926256 263977397764 380819852512 527954795528 725937843851 1055909591056 1451875687702 2111819182112 2903751375404 5807502750808 11615005501616 23230011003232