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232140960 = 25325374357
BaseRepresentation
bin11011101011000…
…11000010100000
3121011210222112100
431311203002200
5433412002320
635011330400
75516110542
oct1565430240
9534728470
10232140960
1110a045a37
12658b0a00
133912b91c
1422b8b692
15155a7790
hexdd630a0

232140960 has 144 divisors (see below), whose sum is σ = 813778056. Its totient is φ = 60217344.

The previous prime is 232140889. The next prime is 232140971. The reversal of 232140960 is 69041232.

It can be written as a sum of positive squares in 4 ways, for example, as 227527056 + 4613904 = 15084^2 + 2148^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51102 + ... + 55458.

Almost surely, 2232140960 is an apocalyptic number.

232140960 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 232140960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406889028).

232140960 is an abundant number, since it is smaller than the sum of its proper divisors (581637096).

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

232140960 is a wasteful number, since it uses less digits than its factorization.

232140960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4415 (or 4404 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 232140960 is about 15236.1727477736. The cubic root of 232140960 is about 614.5877864301.

The spelling of 232140960 in words is "two hundred thirty-two million, one hundred forty thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 37 40 45 48 60 72 74 80 90 96 111 120 144 148 160 180 185 222 240 288 296 333 360 370 444 480 555 592 666 720 740 888 1110 1184 1332 1440 1480 1665 1776 2220 2664 2960 3330 3552 4357 4440 5328 5920 6660 8714 8880 10656 13071 13320 17428 17760 21785 26142 26640 34856 39213 43570 52284 53280 65355 69712 78426 87140 104568 130710 139424 156852 161209 174280 196065 209136 261420 313704 322418 348560 392130 418272 483627 522840 627408 644836 697120 784260 806045 967254 1045680 1254816 1289672 1450881 1568520 1612090 1934508 2091360 2418135 2579344 2901762 3137040 3224180 3869016 4836270 5158688 5803524 6274080 6448360 7254405 7738032 9672540 11607048 12896720 14508810 15476064 19345080 23214096 25793440 29017620 38690160 46428192 58035240 77380320 116070480 232140960