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231881472 = 2832195297
BaseRepresentation
bin11011101001000…
…11101100000000
3121011022210120200
431310203230000
5433330201342
635002005200
75513650164
oct1564435400
9534283520
10231881472
11109988a89
12657a6800
133906a794
1422b20ca4
151555594c
hexdd23b00

231881472 has 108 divisors (see below), whose sum is σ = 703892280. Its totient is φ = 73211904.

The previous prime is 231881471. The next prime is 231881483. The reversal of 231881472 is 274188132.

231881472 is a `hidden beast` number, since 2 + 3 + 188 + 1 + 472 = 666.

231881472 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (231881471) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41128 + ... + 46424.

Almost surely, 2231881472 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 231881472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351946140).

231881472 is an abundant number, since it is smaller than the sum of its proper divisors (472010808).

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

231881472 is a wasteful number, since it uses less digits than its factorization.

231881472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5338 (or 5321 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 231881472 is about 15227.6548424240. The cubic root of 231881472 is about 614.3587049068.

The spelling of 231881472 in words is "two hundred thirty-one million, eight hundred eighty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 256 288 304 342 384 456 576 608 684 768 912 1152 1216 1368 1824 2304 2432 2736 3648 4864 5297 5472 7296 10594 10944 14592 15891 21188 21888 31782 42376 43776 47673 63564 84752 95346 100643 127128 169504 190692 201286 254256 301929 339008 381384 402572 508512 603858 678016 762768 805144 905787 1017024 1207716 1356032 1525536 1610288 1811574 2034048 2415432 3051072 3220576 3623148 4068096 4830864 6102144 6441152 7246296 9661728 12204288 12882304 14492592 19323456 25764608 28985184 38646912 57970368 77293824 115940736 231881472