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231941040 = 24351795399
BaseRepresentation
bin11011101001100…
…10001110110000
3121011102211021220
431310302032300
5433334103130
635003145040
75514315642
oct1564621660
9534384256
10231941040
11109a19811
1265815180
133908b926
1422b38892
1515568410
hexdd323b0

231941040 has 80 divisors (see below), whose sum is σ = 723168000. Its totient is φ = 61494016.

The previous prime is 231941033. The next prime is 231941057. The reversal of 231941040 is 40149132.

231941040 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 (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 231941040.

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, 40261 + ... + 45659.

It is an arithmetic number, because the mean of its divisors is an integer number (9039600).

Almost surely, 2231941040 is an apocalyptic number.

231941040 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 231941040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361584000).

231941040 is an abundant number, since it is smaller than the sum of its proper divisors (491226960).

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

231941040 is a wasteful number, since it uses less digits than its factorization.

231941040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5594 (or 5588 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 231941040 is about 15229.6106319236. The cubic root of 231941040 is about 614.4113079109.

The spelling of 231941040 in words is "two hundred thirty-one million, nine hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 179 240 358 537 716 895 1074 1432 1790 2148 2685 2864 3580 4296 5370 5399 7160 8592 10740 10798 14320 16197 21480 21596 26995 32394 42960 43192 53990 64788 80985 86384 107980 129576 161970 215960 259152 323940 431920 647880 966421 1295760 1932842 2899263 3865684 4832105 5798526 7731368 9664210 11597052 14496315 15462736 19328420 23194104 28992630 38656840 46388208 57985260 77313680 115970520 231941040