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231057640 = 235114711173
BaseRepresentation
bin11011100010110…
…10100011101000
3121002202221111101
431301122203220
5433122321030
634532211144
75503646302
oct1561324350
9532687441
10231057640
11109476030
1265469ab4
1338b3c7c8
1422988972
15154417ca
hexdc5a8e8

231057640 has 64 divisors (see below), whose sum is σ = 579260160. Its totient is φ = 82225920.

The previous prime is 231057623. The next prime is 231057653. The reversal of 231057640 is 46750132.

231057640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 231057599 and 231057608.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15094 + ... + 26266.

It is an arithmetic number, because the mean of its divisors is an integer number (9050940).

Almost surely, 2231057640 is an apocalyptic number.

231057640 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 231057640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289630080).

231057640 is an abundant number, since it is smaller than the sum of its proper divisors (348202520).

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

231057640 is a wasteful number, since it uses less digits than its factorization.

231057640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11242 (or 11238 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 231057640 is about 15200.5802520825. The cubic root of 231057640 is about 613.6302739322.

The spelling of 231057640 in words is "two hundred thirty-one million, fifty-seven thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 47 55 88 94 110 188 220 235 376 440 470 517 940 1034 1880 2068 2585 4136 5170 10340 11173 20680 22346 44692 55865 89384 111730 122903 223460 245806 446920 491612 525131 614515 983224 1050262 1229030 2100524 2458060 2625655 4201048 4916120 5251310 5776441 10502620 11552882 21005240 23105764 28882205 46211528 57764410 115528820 231057640