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422970244200 = 233352741719101
BaseRepresentation
bin1100010011110101111…
…11011011110001101000
31111102202112010200022000
412021322333123301220
523412220340303300
6522150532131000
742362411520000
oct6117277336150
91442675120260
10422970244200
11153420748899
1269b83a66a60
1330b694ac70a
1416686b47000
15b0082cbc00
hex627afdbc68

422970244200 has 1920 divisors, whose sum is σ = 1913060592000. Its totient is φ = 85349376000.

The previous prime is 422970244199. The next prime is 422970244243. The reversal of 422970244200 is 2442079224.

422970244200 is a `hidden beast` number, since 4 + 229 + 7 + 0 + 2 + 4 + 420 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 4187824150 + ... + 4187824250.

It is an arithmetic number, because the mean of its divisors is an integer number (996385725).

Almost surely, 2422970244200 is an apocalyptic number.

422970244200 is a gapful number since it is divisible by the number (40) 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 422970244200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (956530296000).

422970244200 is an abundant number, since it is smaller than the sum of its proper divisors (1490090347800).

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

422970244200 is a wasteful number, since it uses less digits than its factorization.

422970244200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 422970244200 in words is "four hundred twenty-two billion, nine hundred seventy million, two hundred forty-four thousand, two hundred".