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228511668381696 = 211347630131231
BaseRepresentation
bin110011111101010010000100…
…110100100010100000000000
31002222002111120001210212220000
4303331102010310202200000
5214422413344101203241
62130000451120520000
766063265111004010
oct6375220464424000
91088074501725800
10228511668381696
11668a1288572977
1221767113480000
139a6773382aaab
1440600492bbc40
151b641a6086eb6
hexcfd484d22800

228511668381696 has 480 divisors, whose sum is σ = 780202716733440. Its totient is φ = 65276596224000.

The previous prime is 228511668381679. The next prime is 228511668381707. The reversal of 228511668381696 is 696183866115822.

228511668381696 is a `hidden beast` number, since 2 + 2 + 8 + 511 + 6 + 6 + 8 + 3 + 8 + 16 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7316806401 + ... + 7316837631.

It is an arithmetic number, because the mean of its divisors is an integer number (1625422326528).

Almost surely, 2228511668381696 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 228511668381696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390101358366720).

228511668381696 is an abundant number, since it is smaller than the sum of its proper divisors (551691048351744).

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

228511668381696 is an equidigital number, since it uses as much as digits as its factorization.

228511668381696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37573 (or 37544 counting only the distinct ones).

The product of its digits is 358318080, while the sum is 72.

The spelling of 228511668381696 in words is "two hundred twenty-eight trillion, five hundred eleven billion, six hundred sixty-eight million, three hundred eighty-one thousand, six hundred ninety-six".