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231834960 = 24345719269
BaseRepresentation
bin11011101000110…
…00010101010000
3121011020102210000
431310120111100
5433322204320
635001010000
75513364450
oct1564302520
9534212700
10231834960
11109957045
1265783900
1339052566
1422b0bd60
1515546c90
hexdd18550

231834960 has 400 divisors, whose sum is σ = 972259200. Its totient is φ = 50015232.

The previous prime is 231834937. The next prime is 231834971. The reversal of 231834960 is 69438132.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 861706 + ... + 861974.

It is an arithmetic number, because the mean of its divisors is an integer number (2430648).

Almost surely, 2231834960 is an apocalyptic number.

231834960 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 231834960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486129600).

231834960 is an abundant number, since it is smaller than the sum of its proper divisors (740424240).

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

231834960 is a wasteful number, since it uses less digits than its factorization.

231834960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 231834960 is about 15226.1275444546. The cubic root of 231834960 is about 614.3176250646.

The spelling of 231834960 in words is "two hundred thirty-one million, eight hundred thirty-four thousand, nine hundred sixty".