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422446016 = 2629227611
BaseRepresentation
bin11001001011100…
…000001111000000
31002102220110222202
4121023200033000
51331121233031
6105530252332
713316506016
oct3113401700
91072813882
10422446016
111a7506a43
12b95870a8
13696a0175
14401688b6
15271492cb
hex192e03c0

422446016 has 28 divisors (see below), whose sum is σ = 867201720. Its totient is φ = 203938560.

The previous prime is 422445997. The next prime is 422446033. The reversal of 422446016 is 610644224.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a self number, because there is not a number n which added to its sum of digits gives 422446016.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 111950 + ... + 115661.

It is an arithmetic number, because the mean of its divisors is an integer number (30971490).

Almost surely, 2422446016 is an apocalyptic number.

It is an amenable number.

422446016 is an abundant number, since it is smaller than the sum of its proper divisors (444755704).

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

422446016 is a wasteful number, since it uses less digits than its factorization.

422446016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227652 (or 227642 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The square root of 422446016 is about 20553.4915768587. The cubic root of 422446016 is about 750.3382272986.

The spelling of 422446016 in words is "four hundred twenty-two million, four hundred forty-six thousand, sixteen".

Divisors: 1 2 4 8 16 29 32 58 64 116 232 464 928 1856 227611 455222 910444 1820888 3641776 6600719 7283552 13201438 14567104 26402876 52805752 105611504 211223008 422446016