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230581992600 = 23335279540511
BaseRepresentation
bin1101011010111111000…
…0011111110010011000
3211001011122200212122000
43112233300133302120
512234212442230400
6253532232201000
722442015412201
oct3265760376230
9731148625560
10230581992600
1189875583953
1238831539160
131898914669b
14b2359465a8
155ee8210600
hex35afc1fc98

230581992600 has 192 divisors, whose sum is σ = 804281856000. Its totient is φ = 60710083200.

The previous prime is 230581992587. The next prime is 230581992617. The reversal of 230581992600 is 6299185032.

230581992600 is a `hidden beast` number, since 2 + 3 + 0 + 581 + 9 + 9 + 2 + 60 + 0 = 666.

230581992600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2305819926002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 156345 + ... + 696855.

It is an arithmetic number, because the mean of its divisors is an integer number (4188968000).

Almost surely, 2230581992600 is an apocalyptic number.

230581992600 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 230581992600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402140928000).

230581992600 is an abundant number, since it is smaller than the sum of its proper divisors (573699863400).

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

230581992600 is a wasteful number, since it uses less digits than its factorization.

230581992600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540615 (or 540600 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 230581992600 in words is "two hundred thirty billion, five hundred eighty-one million, nine hundred ninety-two thousand, six hundred".