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231882912 = 2534137653
BaseRepresentation
bin11011101001001…
…00000010100000
3121011022212120000
431310210002200
5433330223122
635002020000
75513654322
oct1564440240
9534285500
10231882912
1110998a078
12657a7600
133906b331
1422b21612
15155560ac
hexdd240a0

231882912 has 120 divisors (see below), whose sum is σ = 687990996. Its totient is φ = 76612608.

The previous prime is 231882887. The next prime is 231882919. The reversal of 231882912 is 219288132.

231882912 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 229704336 + 2178576 = 15156^2 + 1476^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231882919) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 354778 + ... + 355430.

Almost surely, 2231882912 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 231882912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343995498).

231882912 is an abundant number, since it is smaller than the sum of its proper divisors (456108084).

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

231882912 is a wasteful number, since it uses less digits than its factorization.

231882912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 795 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 231882912 is about 15227.7021247462. The cubic root of 231882912 is about 614.3599766409.

The spelling of 231882912 in words is "two hundred thirty-one million, eight hundred eighty-two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 137 144 162 216 274 288 324 411 432 548 648 653 822 864 1096 1233 1296 1306 1644 1959 2192 2466 2592 2612 3288 3699 3918 4384 4932 5224 5877 6576 7398 7836 9864 10448 11097 11754 13152 14796 15672 17631 19728 20896 22194 23508 29592 31344 35262 39456 44388 47016 52893 59184 62688 70524 88776 89461 94032 105786 118368 141048 177552 178922 188064 211572 268383 282096 355104 357844 423144 536766 564192 715688 805149 846288 1073532 1431376 1610298 1692576 2147064 2415447 2862752 3220596 4294128 4830894 6441192 7246341 8588256 9661788 12882384 14492682 19323576 25764768 28985364 38647152 57970728 77294304 115941456 231882912