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232234032002553 = 3372359352081189
BaseRepresentation
bin110100110011011100110010…
…111110110111010111111001
31010110021100121222200012121000
4310303130302332313113321
5220414410244143040203
62141530501431435213
766626232543510330
oct6463346276672771
91113240558605530
10232234032002553
1167aa6999811629
1222068617525b09
139c77762a91779
14414c289670d17
151bcae17d8b4a3
hexd33732fb75f9

232234032002553 has 32 divisors (see below), whose sum is σ = 393217150995200. Its totient is φ = 132699533827968.

The previous prime is 232234032002507. The next prime is 232234032002617. The reversal of 232234032002553 is 355200230432232.

232234032002553 is a `hidden beast` number, since 2 + 3 + 2 + 23 + 403 + 200 + 25 + 5 + 3 = 666.

It is a de Polignac number, because none of the positive numbers 2k-232234032002553 is a prime.

It is not an unprimeable number, because it can be changed into a prime (232234032002953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21581518 + ... + 30499671.

It is an arithmetic number, because the mean of its divisors is an integer number (12288035968600).

Almost surely, 2232234032002553 is an apocalyptic number.

It is an amenable number.

232234032002553 is a deficient number, since it is larger than the sum of its proper divisors (160983118992647).

232234032002553 is a wasteful number, since it uses less digits than its factorization.

232234032002553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52104798 (or 52104792 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 36.

Adding to 232234032002553 its reverse (355200230432232), we get a palindrome (587434262434785).

The spelling of 232234032002553 in words is "two hundred thirty-two trillion, two hundred thirty-four billion, thirty-two million, two thousand, five hundred fifty-three".

Divisors: 1 3 7 9 21 27 63 189 23593 70779 165151 212337 495453 637011 1486359 4459077 52081189 156243567 364568323 468730701 1093704969 1406192103 3281114907 9843344721 1228751492077 3686254476231 8601260444539 11058763428693 25803781333617 33176290286079 77411344000851 232234032002553