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228876604992 = 2633743440039
BaseRepresentation
bin1101010100101000011…
…0111101011001000000
3210212202210201012122000
43111022012331121000
512222214402324432
6253051111544000
722351530020520
oct3251206753100
9725683635560
10228876604992
118907a970a02
123843638b000
1318776a31aa9
14b11325b680
155e4864557c
hex354a1bd640

228876604992 has 224 divisors, whose sum is σ = 786861926400. Its totient is φ = 63872395776.

The previous prime is 228876604987. The next prime is 228876605029. The reversal of 228876604992 is 299406678822.

228876604992 is a `hidden beast` number, since 2 + 2 + 8 + 87 + 6 + 60 + 499 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 300109 + ... + 740147.

Almost surely, 2228876604992 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 228876604992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393430963200).

228876604992 is an abundant number, since it is smaller than the sum of its proper divisors (557985321408).

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

228876604992 is a wasteful number, since it uses less digits than its factorization.

228876604992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440110 (or 440094 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 228876604992 in words is "two hundred twenty-eight billion, eight hundred seventy-six million, six hundred four thousand, nine hundred ninety-two".