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231611264 = 2717163653
BaseRepresentation
bin11011100111000…
…01101110000000
3121010211001220222
431303201232000
5433243030024
634552122212
75511443333
oct1563415600
9533731828
10231611264
11109813a75
1265696368
1338ca47b1
1422a9061a
151550085e
hexdce1b80

231611264 has 64 divisors (see below), whose sum is σ = 492305040. Its totient is φ = 108158976.

The previous prime is 231611257. The next prime is 231611269. The reversal of 231611264 is 462116132.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×2316112642 = 107287555223355392, which contains 22 as substring.

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231611269) by changing a digit.

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, 354362 + ... + 355014.

Almost surely, 2231611264 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 231611264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246152520).

231611264 is an abundant number, since it is smaller than the sum of its proper divisors (260693776).

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

231611264 is a wasteful number, since it uses less digits than its factorization.

231611264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847 (or 835 counting only the distinct ones).

The product of its digits is 1728, while the sum is 26.

The square root of 231611264 is about 15218.7799773832. The cubic root of 231611264 is about 614.1199778276.

Adding to 231611264 its reverse (462116132), we get a palindrome (693727396).

The spelling of 231611264 in words is "two hundred thirty-one million, six hundred eleven thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 163 272 326 544 652 653 1088 1304 1306 2176 2608 2612 2771 5216 5224 5542 10432 10448 11084 11101 20864 20896 22168 22202 41792 44336 44404 83584 88672 88808 106439 177344 177616 212878 354688 355232 425756 710464 851512 1420928 1703024 1809463 3406048 3618926 6812096 7237852 13624192 14475704 28951408 57902816 115805632 231611264