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232531040 = 25571911087
BaseRepresentation
bin11011101110000…
…10010001100000
3121012112210121202
431313002101200
5434011443130
635023540332
75522324030
oct1567022140
9535483552
10232531040
1110a292015
1265a5a6a8
1339237341
1422c4d8c0
1515633145
hexddc2460

232531040 has 96 divisors (see below), whose sum is σ = 631701504. Its totient is φ = 79234560.

The previous prime is 232531037. The next prime is 232531067. The reversal of 232531040 is 40135232.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 213377 + ... + 214463.

It is an arithmetic number, because the mean of its divisors is an integer number (6580224).

Almost surely, 2232531040 is an apocalyptic number.

232531040 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 232531040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315850752).

232531040 is an abundant number, since it is smaller than the sum of its proper divisors (399170464).

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

232531040 is a wasteful number, since it uses less digits than its factorization.

232531040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1300 (or 1292 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 232531040 is about 15248.9684897045. The cubic root of 232531040 is about 614.9318363654.

Adding to 232531040 its reverse (40135232), we get a palindrome (272666272).

The spelling of 232531040 in words is "two hundred thirty-two million, five hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 191 224 280 382 560 764 955 1087 1120 1337 1528 1910 2174 2674 3056 3820 4348 5348 5435 6112 6685 7609 7640 8696 10696 10870 13370 15218 15280 17392 21392 21740 26740 30436 30560 34784 38045 42784 43480 53480 60872 76090 86960 106960 121744 152180 173920 207617 213920 243488 304360 415234 608720 830468 1038085 1217440 1453319 1660936 2076170 2906638 3321872 4152340 5813276 6643744 7266595 8304680 11626552 14533190 16609360 23253104 29066380 33218720 46506208 58132760 116265520 232531040