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228980115834432 = 26317592934058149
BaseRepresentation
bin110100000100000110010110…
…011101110000011001000000
31010000202021200222100010021220
4310010012112131300121000
5220003102234123200212
62131000002451315040
766142160505442554
oct6404062635603100
91100667628303256
10228980115834432
1166a61a15986626
1221821a695aba80
139a9c969a53851
1440789a7bd5864
151b71471b1738c
hexd04196770640

228980115834432 has 224 divisors, whose sum is σ = 654580244304000. Its totient is φ = 70378285596672.

The previous prime is 228980115834403. The next prime is 228980115834479. The reversal of 228980115834432 is 234438511089822.

It is a happy number.

It is a super-3 number, since 3×2289801158344323 (a number of 44 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54395694 + ... + 58453842.

It is an arithmetic number, because the mean of its divisors is an integer number (2922233233500).

Almost surely, 2228980115834432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228980115834432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327290122152000).

228980115834432 is an abundant number, since it is smaller than the sum of its proper divisors (425600128469568).

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

228980115834432 is a wasteful number, since it uses less digits than its factorization.

228980115834432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4058533 (or 4058523 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 60.

The spelling of 228980115834432 in words is "two hundred twenty-eight trillion, nine hundred eighty billion, one hundred fifteen million, eight hundred thirty-four thousand, four hundred thirty-two".