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BaseRepresentation
bin1101011100011111001…
…1010011110111101000
3211002012202202020210000
43113013303103313220
512241024224232100
6254040242223000
722455014235522
oct3270763236750
9732182666700
10230985383400
1189a62255382
1238924654a60
1318a218a4475
14b273350a12
15601d843900
hex35c7cd3de8

230985383400 has 720 divisors, whose sum is σ = 853487611020. Its totient is φ = 57853440000.

The previous prime is 230985383383. The next prime is 230985383459. The reversal of 230985383400 is 4383589032.

230985383400 is a `hidden beast` number, since 2 + 30 + 98 + 53 + 83 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 202775493636 + 28209889764 = 450306^2 + 167958^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 576023200 + ... + 576023600.

Almost surely, 2230985383400 is an apocalyptic number.

230985383400 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 230985383400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426743805510).

230985383400 is an abundant number, since it is smaller than the sum of its proper divisors (622502227620).

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

230985383400 is a wasteful number, since it uses less digits than its factorization.

230985383400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 230985383400 in words is "two hundred thirty billion, nine hundred eighty-five million, three hundred eighty-three thousand, four hundred".