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230974800 = 24352731887
BaseRepresentation
bin11011100010001…
…10010101010000
3121002121201212020
431301012111100
5433112143200
634530331440
75503152630
oct1561062520
9532551766
10230974800
11109419871
1265429b80
1338b10ba4
14229666c0
1515426ea0
hexdc46550

230974800 has 240 divisors, whose sum is σ = 873848832. Its totient is φ = 51033600.

The previous prime is 230974781. The next prime is 230974813. The reversal of 230974800 is 8479032.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 259957 + ... + 260843.

Almost surely, 2230974800 is an apocalyptic number.

230974800 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 230974800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436924416).

230974800 is an abundant number, since it is smaller than the sum of its proper divisors (642874032).

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

230974800 is a wasteful number, since it uses less digits than its factorization.

230974800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 230974800 is about 15197.8551118242. The cubic root of 230974800 is about 613.5569311823.

The spelling of 230974800 in words is "two hundred thirty million, nine hundred seventy-four thousand, eight hundred".