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231057630 = 23356114029
BaseRepresentation
bin11011100010110…
…10100011011110
3121002202221111000
431301122203132
5433122321010
634532211130
75503646256
oct1561324336
9532687430
10231057630
11109476021
1265469aa6
1338b3c7bb
1422988966
15154417c0
hexdc5a8de

231057630 has 64 divisors (see below), whose sum is σ = 626299200. Its totient is φ = 60600960.

The previous prime is 231057623. The next prime is 231057653. The reversal of 231057630 is 36750132.

It is a happy number.

231057630 is a `hidden beast` number, since 23 + 1 + 0 + 5 + 7 + 630 = 666.

231057630 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 231057594 and 231057603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9456 + ... + 23484.

It is an arithmetic number, because the mean of its divisors is an integer number (9785925).

Almost surely, 2231057630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231057630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313149600).

231057630 is an abundant number, since it is smaller than the sum of its proper divisors (395241570).

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

231057630 is a wasteful number, since it uses less digits than its factorization.

231057630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14106 (or 14100 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 231057630 is about 15200.5799231477. The cubic root of 231057630 is about 613.6302650797.

The spelling of 231057630 in words is "two hundred thirty-one million, fifty-seven thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 61 90 122 135 183 270 305 366 549 610 915 1098 1647 1830 2745 3294 5490 8235 14029 16470 28058 42087 70145 84174 126261 140290 210435 252522 378783 420870 631305 757566 855769 1262610 1711538 1893915 2567307 3787830 4278845 5134614 7701921 8557690 12836535 15403842 23105763 25673070 38509605 46211526 77019210 115528815 231057630