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231061152 = 2537379293
BaseRepresentation
bin11011100010110…
…11011010100000
3121002210010022110
431301123122200
5433122424102
634532235320
75503662450
oct1561333240
9532703273
10231061152
11109478733
126546bb40
1338b4129a
1422989d60
151544286c
hexdc5b6a0

231061152 has 96 divisors (see below), whose sum is σ = 711994752. Its totient is φ = 64226304.

The previous prime is 231061141. The next prime is 231061211. The reversal of 231061152 is 251160132.

231061152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 20218 + ... + 29510.

It is an arithmetic number, because the mean of its divisors is an integer number (7416612).

Almost surely, 2231061152 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 231061152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355997376).

231061152 is an abundant number, since it is smaller than the sum of its proper divisors (480933600).

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

231061152 is a wasteful number, since it uses less digits than its factorization.

231061152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9350 (or 9342 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 231061152 is about 15200.6957735493. The cubic root of 231061152 is about 613.6333829091.

The spelling of 231061152 in words is "two hundred thirty-one million, sixty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 48 56 74 84 96 111 112 148 168 222 224 259 296 336 444 518 592 672 777 888 1036 1184 1554 1776 2072 3108 3552 4144 6216 8288 9293 12432 18586 24864 27879 37172 55758 65051 74344 111516 130102 148688 195153 223032 260204 297376 343841 390306 446064 520408 687682 780612 892128 1031523 1040816 1375364 1561224 2063046 2081632 2406887 2750728 3122448 4126092 4813774 5501456 6244896 7220661 8252184 9627548 11002912 14441322 16504368 19255096 28882644 33008736 38510192 57765288 77020384 115530576 231061152