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228946798080 = 29345711131103
BaseRepresentation
bin1101010100111001001…
…0101110011000000000
3210212221200210101110000
43111032102232120000
512222340340014310
6253102100240000
722353341450220
oct3251622563000
9725850711400
10228946798080
1189106554020
12384559a0000
131878843a470
14b11c6d0080
155e4e8ad4c0
hex354e4ae600

228946798080 has 1600 divisors, whose sum is σ = 1101997467648. Its totient is φ = 43874058240.

The previous prime is 228946798061. The next prime is 228946798117. The reversal of 228946798080 is 80897649822.

228946798080 is a `hidden beast` number, since 2 + 2 + 8 + 9 + 467 + 98 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 228946797999 and 228946798017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 207566809 + ... + 207567911.

Almost surely, 2228946798080 is an apocalyptic number.

228946798080 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 228946798080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550998733824).

228946798080 is an abundant number, since it is smaller than the sum of its proper divisors (873050669568).

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

228946798080 is a wasteful number, since it uses less digits than its factorization.

228946798080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1169 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 228946798080 in words is "two hundred twenty-eight billion, nine hundred forty-six million, seven hundred ninety-eight thousand, eighty".