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230099427360 = 253251126121649
BaseRepresentation
bin1101011001001011111…
…1101010000000100000
3210222221000200000120100
43112102333222000200
512232220423133420
6253412313142400
722424035601355
oct3262277520040
9728830600510
10230099427360
1189648145500
12387179baa00
131891018721a
14b1cb80c62c
155ebab8d190
hex3592fea020

230099427360 has 432 divisors, whose sum is σ = 877276272600. Its totient is φ = 54864691200.

The previous prime is 230099427347. The next prime is 230099427379. The reversal of 230099427360 is 63724990032.

230099427360 is a `hidden beast` number, since 230 + 0 + 9 + 94 + 273 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 104672955024 + 125426472336 = 323532^2 + 354156^2 .

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 (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10617816 + ... + 10639464.

Almost surely, 2230099427360 is an apocalyptic number.

230099427360 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 230099427360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438638136300).

230099427360 is an abundant number, since it is smaller than the sum of its proper divisors (647176845240).

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

230099427360 is a wasteful number, since it uses less digits than its factorization.

230099427360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21753 (or 21731 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 230099427360 in words is "two hundred thirty billion, ninety-nine million, four hundred twenty-seven thousand, three hundred sixty".