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233116608 = 2639712517
BaseRepresentation
bin11011110010100…
…01001111000000
3121020122112212110
431321101033000
5434134212413
635044255320
75530313154
oct1571211700
9536575773
10233116608
1110a651a5a
12660a1540
13393b0a2a
1422d63064
15156eb8c3
hexde513c0

233116608 has 56 divisors (see below), whose sum is σ = 623196112. Its totient is φ = 76898304.

The previous prime is 233116591. The next prime is 233116619. The reversal of 233116608 is 806611332.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12366 + ... + 24882.

It is an arithmetic number, because the mean of its divisors is an integer number (11128502).

Almost surely, 2233116608 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 233116608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311598056).

233116608 is an abundant number, since it is smaller than the sum of its proper divisors (390079504).

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

233116608 is a wasteful number, since it uses less digits than its factorization.

233116608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12629 (or 12619 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 233116608 is about 15268.1566667362. The cubic root of 233116608 is about 615.4475848128.

The spelling of 233116608 in words is "two hundred thirty-three million, one hundred sixteen thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 97 192 194 291 388 582 776 1164 1552 2328 3104 4656 6208 9312 12517 18624 25034 37551 50068 75102 100136 150204 200272 300408 400544 600816 801088 1201632 1214149 2403264 2428298 3642447 4856596 7284894 9713192 14569788 19426384 29139576 38852768 58279152 77705536 116558304 233116608