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231352000 = 2653112239
BaseRepresentation
bin11011100101000…
…10011011000000
3121010022220021121
431302202123000
5433211231000
634542402024
75506313425
oct1562423300
9533286247
10231352000
11109657200
1265590314
1338c13799
1422a23d4c
151549db1a
hexdca26c0

231352000 has 168 divisors, whose sum is σ = 632399040. Its totient is φ = 83776000.

The previous prime is 231351973. The next prime is 231352003. The reversal of 231352000 is 253132.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231352003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 967881 + ... + 968119.

It is an arithmetic number, because the mean of its divisors is an integer number (3764280).

Almost surely, 2231352000 is an apocalyptic number.

231352000 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 231352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316199520).

231352000 is an abundant number, since it is smaller than the sum of its proper divisors (401047040).

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

231352000 is a wasteful number, since it uses less digits than its factorization.

231352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 231352000 is about 15210.2596953504. The cubic root of 231352000 is about 613.8907450955.

The spelling of 231352000 in words is "two hundred thirty-one million, three hundred fifty-two thousand".