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231815980 = 225116715727
BaseRepresentation
bin11011101000100…
…11101100101100
3121011012110202001
431310103230230
5433321102410
635000342044
75513255224
oct1564235454
9534173661
10231815980
11109943860
1265774924
1339046a26
1422b05084
151554133a
hexdd13b2c

231815980 has 48 divisors (see below), whose sum is σ = 539030016. Its totient is φ = 83033280.

The previous prime is 231815977. The next prime is 231816019. The reversal of 231815980 is 89518132.

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, 6877 + ... + 22603.

It is an arithmetic number, because the mean of its divisors is an integer number (11229792).

Almost surely, 2231815980 is an apocalyptic number.

231815980 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 231815980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269515008).

231815980 is an abundant number, since it is smaller than the sum of its proper divisors (307214036).

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

231815980 is a wasteful number, since it uses less digits than its factorization.

231815980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15814 (or 15812 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 37.

The square root of 231815980 is about 15225.5042609432. The cubic root of 231815980 is about 614.3008601689.

It can be divided in two parts, 23181 and 5980, that added together give a triangular number (29161 = T241).

The spelling of 231815980 in words is "two hundred thirty-one million, eight hundred fifteen thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 67 110 134 220 268 335 670 737 1340 1474 2948 3685 7370 14740 15727 31454 62908 78635 157270 172997 314540 345994 691988 864985 1053709 1729970 2107418 3459940 4214836 5268545 10537090 11590799 21074180 23181598 46363196 57953995 115907990 231815980