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23233150452232 = 23723412963148483
BaseRepresentation
bin1010100100001011000111…
…01011100000001000001000
310001021001211012102220222101
411102011203223200020020
511021122443003432412
6121225054553003144
74615353061306540
oct522054353401010
9101231735386871
1023233150452232
11744813a81a376
1227328a70b34b4
13cc6b521090c6
145a46c1c4c320
152a453303a457
hex152163ae0208

23233150452232 has 128 divisors (see below), whose sum is σ = 53235291432960. Its totient is φ = 9288653806080.

The previous prime is 23233150452223. The next prime is 23233150452359. The reversal of 23233150452232 is 23225405133232.

It is a super-2 number, since 2×232331504522322 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23233150452191 and 23233150452200.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 156395863 + ... + 156544345.

It is an arithmetic number, because the mean of its divisors is an integer number (415900714320).

Almost surely, 223233150452232 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 23233150452232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26617645716480).

23233150452232 is an abundant number, since it is smaller than the sum of its proper divisors (30002140980728).

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

23233150452232 is a wasteful number, since it uses less digits than its factorization.

23233150452232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151523 (or 151519 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 37.

Adding to 23233150452232 its reverse (23225405133232), we get a palindrome (46458555585464).

The spelling of 23233150452232 in words is "twenty-three trillion, two hundred thirty-three billion, one hundred fifty million, four hundred fifty-two thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 23 28 41 46 56 82 92 161 164 184 287 322 328 574 644 943 1148 1288 1886 2296 2963 3772 5926 6601 7544 11852 13202 20741 23704 26404 41482 52808 68149 82964 121483 136298 148483 165928 242966 272596 296966 477043 485932 545192 593932 850381 954086 971864 1039381 1187864 1700762 1908172 2078762 2794109 3401524 3415109 3816344 4157524 5588218 6087803 6803048 6830218 8315048 11176436 12175606 13660436 19558763 22352872 23905763 24351212 27320872 39117526 42614621 47811526 48702424 78235052 85229242 95623052 140019469 156470104 170458484 191246104 280038938 340916968 439955129 560077876 879910258 980136283 1120155752 1759820516 1960272566 3079685903 3519641032 3920545132 6159371806 7841090264 10118967967 12318743612 18038160289 20237935934 24637487224 36076320578 40475871868 70832775769 72152641156 80951743736 126267122023 141665551538 144305282312 252534244046 283331103076 414877686647 505068488092 566662206152 829755373294 1010136976184 1659510746588 2904143806529 3319021493176 5808287613058 11616575226116 23233150452232