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230964480 = 2833541163
BaseRepresentation
bin11011100010000…
…11110100000000
3121002121012201000
431301003310000
5433111330410
634530212000
75503110555
oct1561036400
9532535630
10230964480
1110941203a
1265424000
1338b09296
1422962a2c
1515423dc0
hexdc43d00

230964480 has 288 divisors, whose sum is σ = 844744320. Its totient is φ = 59719680.

The previous prime is 230964467. The next prime is 230964493. The reversal of 230964480 is 84469032.

It is a happy number.

230964480 is a `hidden beast` number, since 2 + 3 + 0 + 9 + 644 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (230964467) and next prime (230964493).

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1416879 + ... + 1417041.

It is an arithmetic number, because the mean of its divisors is an integer number (2933140).

Almost surely, 2230964480 is an apocalyptic number.

230964480 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 230964480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422372160).

230964480 is an abundant number, since it is smaller than the sum of its proper divisors (613779840).

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

230964480 is a wasteful number, since it uses less digits than its factorization.

230964480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 230964480 is about 15197.5155864371. The cubic root of 230964480 is about 613.5477930976.

The spelling of 230964480 in words is "two hundred thirty million, nine hundred sixty-four thousand, four hundred eighty".