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228895580160 = 213355132961
BaseRepresentation
bin1101010100101100111…
…1010110000000000000
3210212211010102020200000
43111023033112000000
512222234232031120
6253053030400000
722352150220642
oct3251317260000
9725733366600
10228895580160
118908a651265
1238440800000
131877a9468c0
14b11599a892
155e4a142990
hex354b3d6000

228895580160 has 1344 divisors, whose sum is σ = 931723490880. Its totient is φ = 53508833280.

The previous prime is 228895580093. The next prime is 228895580171. The reversal of 228895580160 is 61085598822.

It is a happy number.

228895580160 is a `hidden beast` number, since 2 + 2 + 8 + 89 + 558 + 0 + 1 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 228895580097 and 228895580106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3752386530 + ... + 3752386590.

It is an arithmetic number, because the mean of its divisors is an integer number (693246645).

Almost surely, 2228895580160 is an apocalyptic number.

228895580160 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 228895580160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465861745440).

228895580160 is an abundant number, since it is smaller than the sum of its proper divisors (702827910720).

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

228895580160 is an equidigital number, since it uses as much as digits as its factorization.

228895580160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The spelling of 228895580160 in words is "two hundred twenty-eight billion, eight hundred ninety-five million, five hundred eighty thousand, one hundred sixty".