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231377072 = 24177111981
BaseRepresentation
bin11011100101010…
…00100010110000
3121010101011200012
431302220202300
5433213031242
634543114052
75506446503
oct1562504260
9533334605
10231377072
11109674023
12655a2928
1338c22014
1422a2d13a
15154a6282
hexdca88b0

231377072 has 40 divisors (see below), whose sum is σ = 481388832. Its totient is φ = 107340800.

The previous prime is 231377059. The next prime is 231377093. The reversal of 231377072 is 270773132.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13322 + ... + 25302.

Almost surely, 2231377072 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 231377072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240694416).

231377072 is an abundant number, since it is smaller than the sum of its proper divisors (250011760).

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

231377072 is a wasteful number, since it uses less digits than its factorization.

231377072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12077 (or 12071 counting only the distinct ones).

The product of its (nonzero) digits is 12348, while the sum is 32.

The square root of 231377072 is about 15211.0838535589. The cubic root of 231377072 is about 613.9129204139.

The spelling of 231377072 in words is "two hundred thirty-one million, three hundred seventy-seven thousand, seventy-two".

Divisors: 1 2 4 8 16 17 34 68 71 136 142 272 284 568 1136 1207 2414 4828 9656 11981 19312 23962 47924 95848 191696 203677 407354 814708 850651 1629416 1701302 3258832 3402604 6805208 13610416 14461067 28922134 57844268 115688536 231377072