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422222976 = 2733731563
BaseRepresentation
bin11001001010101…
…001110010000000
31002102111011001000
4121022221302000
51331042113401
6105521412000
713314556530
oct3112516200
91072434030
10422222976
111a737440a
12b949a000
13696227a6
144010b4c0
1527103186
hex192a9c80

422222976 has 256 divisors, whose sum is σ = 1472716800. Its totient is φ = 116536320.

The previous prime is 422222929. The next prime is 422222993. The reversal of 422222976 is 679222224.

422222976 is a `hidden beast` number, since 422 + 2 + 229 + 7 + 6 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 422222976.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 749671 + ... + 750233.

It is an arithmetic number, because the mean of its divisors is an integer number (5752800).

Almost surely, 2422222976 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 422222976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736358400).

422222976 is an abundant number, since it is smaller than the sum of its proper divisors (1050493824).

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

422222976 is a wasteful number, since it uses less digits than its factorization.

422222976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 606 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 422222976 is about 20548.0650183904. The cubic root of 422222976 is about 750.2061513303.

The spelling of 422222976 in words is "four hundred twenty-two million, two hundred twenty-two thousand, nine hundred seventy-six".