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228501362880 = 26345721719557
BaseRepresentation
bin1101010011001110111…
…1100001100011000000
3210211210122121221020000
43110303233201203000
512220432322103010
6252545545120000
722336322352300
oct3246357414300
9724718557200
10228501362880
11889a8075a5a
1238350789000
131871707b43b
14b0b949d600
155e257227c0
hex3533be18c0

228501362880 has 1680 divisors, whose sum is σ = 1055727652320. Its totient is φ = 46485798912.

The previous prime is 228501362867. The next prime is 228501362891. The reversal of 228501362880 is 88263105822.

228501362880 is a `hidden beast` number, since 2 + 2 + 8 + 5 + 0 + 13 + 628 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 410235562 + ... + 410236118.

Almost surely, 2228501362880 is an apocalyptic number.

228501362880 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 228501362880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527863826160).

228501362880 is an abundant number, since it is smaller than the sum of its proper divisors (827226289440).

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

228501362880 is a wasteful number, since it uses less digits than its factorization.

228501362880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 228501362880 in words is "two hundred twenty-eight billion, five hundred one million, three hundred sixty-two thousand, eight hundred eighty".