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231889680 = 2432511192367
BaseRepresentation
bin11011101001001…
…01101100010000
3121011100012211200
431310211230100
5433330432210
635002111200
75514013131
oct1564455420
9534305750
10231889680
11109994170
12657ab500
1339071439
1422b23c88
15155580c0
hexdd25b10

231889680 has 480 divisors, whose sum is σ = 947082240. Its totient is φ = 50181120.

The previous prime is 231889607. The next prime is 231889709. The reversal of 231889680 is 86988132.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3461007 + ... + 3461073.

It is an arithmetic number, because the mean of its divisors is an integer number (1973088).

Almost surely, 2231889680 is an apocalyptic number.

231889680 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 231889680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473541120).

231889680 is an abundant number, since it is smaller than the sum of its proper divisors (715192560).

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

231889680 is a wasteful number, since it uses less digits than its factorization.

231889680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 231889680 is about 15227.9243496939. The cubic root of 231889680 is about 614.3659537205.

The spelling of 231889680 in words is "two hundred thirty-one million, eight hundred eighty-nine thousand, six hundred eighty".