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231312640 = 2851313901
BaseRepresentation
bin11011100100110…
…00110100000000
3121010020220021211
431302120310000
5433204001030
634541455504
75506060606
oct1562306400
9533226254
10231312640
1110962a679
1265571594
1338bcb8b0
1422a13876
151549212a
hexdc98d00

231312640 has 72 divisors (see below), whose sum is σ = 596729448. Its totient is φ = 85401600.

The previous prime is 231312619. The next prime is 231312643. The reversal of 231312640 is 46213132.

231312640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 19784704 + 211527936 = 4448^2 + 14544^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231312643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9690 + ... + 23590.

It is an arithmetic number, because the mean of its divisors is an integer number (8287909).

Almost surely, 2231312640 is an apocalyptic number.

231312640 is a gapful number since it is divisible by the number (20) 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 231312640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298364724).

231312640 is an abundant number, since it is smaller than the sum of its proper divisors (365416808).

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

231312640 is a wasteful number, since it uses less digits than its factorization.

231312640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13935 (or 13921 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 231312640 is about 15208.9657768042. The cubic root of 231312640 is about 613.8559293023.

Adding to 231312640 its reverse (46213132), we get a palindrome (277525772).

The spelling of 231312640 in words is "two hundred thirty-one million, three hundred twelve thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 416 520 640 832 1040 1280 1664 2080 3328 4160 8320 13901 16640 27802 55604 69505 111208 139010 180713 222416 278020 361426 444832 556040 722852 889664 903565 1112080 1445704 1779328 1807130 2224160 2891408 3558656 3614260 4448320 5782816 7228520 8896640 11565632 14457040 17793280 23131264 28914080 46262528 57828160 115656320 231312640