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230799602880 = 26335711192312
BaseRepresentation
bin1101011011110010111…
…0100111010011000000
3211001201211011121211000
43112330232213103000
512240134144243010
6254010004252000
722450300153410
oct3267456472300
9731654147730
10230799602880
11899773a4760
12388923a1000
13189c2258472
14b2567d0640
15600c3977c0
hex35bcba74c0

230799602880 has 2016 divisors, whose sum is σ = 1107032624640. Its totient is φ = 43968614400.

The previous prime is 230799602851. The next prime is 230799602933. The reversal of 230799602880 is 88206997032.

It is a happy number.

230799602880 is a `hidden beast` number, since 23 + 0 + 7 + 9 + 9 + 602 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7445148465 + ... + 7445148495.

Almost surely, 2230799602880 is an apocalyptic number.

230799602880 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 230799602880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553516312320).

230799602880 is an abundant number, since it is smaller than the sum of its proper divisors (876233021760).

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

230799602880 is a wasteful number, since it uses less digits than its factorization.

230799602880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 230799602880 in words is "two hundred thirty billion, seven hundred ninety-nine million, six hundred two thousand, eight hundred eighty".