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2200239874008 = 233311191012112287
BaseRepresentation
bin100000000001001000100…
…001000001111111011000
321210100012111111101202000
4200001020201001333120
5242022042401432013
64402435400241000
7314650665231141
oct40011041017730
97710174441660
102200239874008
11779131059970
122b6507a70160
1312c63548bc17
14786c6772ac8
153c377535973
hex20048841fd8

2200239874008 has 512 divisors, whose sum is σ = 7124502528000. Its totient is φ = 622157760000.

The previous prime is 2200239873983. The next prime is 2200239874051. The reversal of 2200239874008 is 8004789320022.

2200239874008 is a `hidden beast` number, since 2 + 2 + 0 + 0 + 239 + 8 + 7 + 400 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 962062641 + ... + 962064927.

It is an arithmetic number, because the mean of its divisors is an integer number (13915044000).

Almost surely, 22200239874008 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 2200239874008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3562251264000).

2200239874008 is an abundant number, since it is smaller than the sum of its proper divisors (4924262653992).

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

2200239874008 is a wasteful number, since it uses less digits than its factorization.

2200239874008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2644 (or 2634 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 2200239874008 in words is "two trillion, two hundred billion, two hundred thirty-nine million, eight hundred seventy-four thousand, eight".