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231866112 = 283319739
BaseRepresentation
bin11011101000111…
…11111100000000
3121011022000111210
431310133330000
5433324203422
635001410120
75513554332
oct1564377400
9534260453
10231866112
11109978495
1265799940
13390637aa
1422b19452
151555110c
hexdd1ff00

231866112 has 72 divisors (see below), whose sum is σ = 637073920. Its totient is φ = 74787840.

The previous prime is 231866099. The next prime is 231866113. The reversal of 231866112 is 211668132.

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

It is a self number, because there is not a number n which added to its sum of digits gives 231866112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231866113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18939 + ... + 28677.

Almost surely, 2231866112 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 231866112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318536960).

231866112 is an abundant number, since it is smaller than the sum of its proper divisors (405207808).

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

231866112 is an equidigital number, since it uses as much as digits as its factorization.

231866112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9789 (or 9775 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 231866112 is about 15227.1504885189. The cubic root of 231866112 is about 614.3451394158.

The spelling of 231866112 in words is "two hundred thirty-one million, eight hundred sixty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 744 768 992 1488 1984 2976 3968 5952 7936 9739 11904 19478 23808 29217 38956 58434 77912 116868 155824 233736 301909 311648 467472 603818 623296 905727 934944 1207636 1246592 1811454 1869888 2415272 2493184 3622908 3739776 4830544 7245816 7479552 9661088 14491632 19322176 28983264 38644352 57966528 77288704 115933056 231866112