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231870080 = 2751329312
BaseRepresentation
bin11011101001000…
…00111010000000
3121011022012221202
431310200322000
5433324320310
635001440332
75513602031
oct1564407200
9534265852
10231870080
11109980472
12657a00a8
1339065540
1422b1aa88
15155523a5
hexdd20e80

231870080 has 192 divisors, whose sum is σ = 638101800. Its totient is φ = 79994880.

The previous prime is 231870077. The next prime is 231870097. The reversal of 231870080 is 80078132.

It can be written as a sum of positive squares in 4 ways, for example, as 147671104 + 84198976 = 12152^2 + 9176^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7479665 + ... + 7479695.

Almost surely, 2231870080 is an apocalyptic number.

231870080 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 231870080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319050900).

231870080 is an abundant number, since it is smaller than the sum of its proper divisors (406231720).

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

231870080 is a wasteful number, since it uses less digits than its factorization.

231870080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 231870080 is about 15227.2807815447. The cubic root of 231870080 is about 614.3486438917.

The spelling of 231870080 in words is "two hundred thirty-one million, eight hundred seventy thousand, eighty".