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230452992 = 2833711433
BaseRepresentation
bin11011011110001…
…10111100000000
3121001122020002000
431233012330000
5432443443432
634511224000
75465550420
oct1557067400
9531566060
10230452992
111090a2820
1265218000
133898a523
142286c480
151537257c
hexdbc6f00

230452992 has 288 divisors, whose sum is σ = 851612160. Its totient is φ = 59719680.

The previous prime is 230452967. The next prime is 230452993. The reversal of 230452992 is 299254032.

230452992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230452993) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 532008 + ... + 532440.

Almost surely, 2230452992 is an apocalyptic number.

230452992 is a gapful number since it is divisible by the number (22) 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 230452992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425806080).

230452992 is an abundant number, since it is smaller than the sum of its proper divisors (621159168).

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

230452992 is a wasteful number, since it uses less digits than its factorization.

230452992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 230452992 is about 15180.6782457175. The cubic root of 230452992 is about 613.0945426238.

The spelling of 230452992 in words is "two hundred thirty million, four hundred fifty-two thousand, nine hundred ninety-two".