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70226488800 = 253252132332621
BaseRepresentation
bin100000101100111010…
…0110010110111100000
320201021012112021002200
41001121310302313200
52122310440120200
652132301213200
75034164206566
oct1013164626740
9221235467080
1070226488800
11278680274a6
121173a861200
1368123476b0
143582b31a36
151c6044d800
hex1059d32de0

70226488800 has 432 divisors, whose sum is σ = 278288625888. Its totient is φ = 16534425600.

The previous prime is 70226488763. The next prime is 70226488859. The reversal of 70226488800 is 888462207.

It is a happy number.

70226488800 is a `hidden beast` number, since 70 + 2 + 26 + 488 + 80 + 0 = 666.

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

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 2136490 + ... + 2169110.

It is an arithmetic number, because the mean of its divisors is an integer number (644186634).

Almost surely, 270226488800 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 70226488800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139144312944).

70226488800 is an abundant number, since it is smaller than the sum of its proper divisors (208062137088).

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

70226488800 is a wasteful number, since it uses less digits than its factorization.

70226488800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32683 (or 32667 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 70226488800 in words is "seventy billion, two hundred twenty-six million, four hundred eighty-eight thousand, eight hundred".