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422946816 = 2113234173
BaseRepresentation
bin11001001101011…
…010100000000000
31002110211220221220
4121031122200000
51331233244231
6105545115040
713323663045
oct3115324000
91073756856
10422946816
111a7819226
12b9788a80
13698170b6
14402591cc
15271e7896
hex1935a800

422946816 has 192 divisors, whose sum is σ = 1221816960. Its totient is φ = 129761280.

The previous prime is 422946773. The next prime is 422946827. The reversal of 422946816 is 618649224.

It is a tau number, because it is divible by the number of its divisors (192).

Its product of digits (165888) is a multiple of the sum of its prime factors (162).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5793756 + ... + 5793828.

It is an arithmetic number, because the mean of its divisors is an integer number (6363630).

Almost surely, 2422946816 is an apocalyptic number.

422946816 is a gapful number since it is divisible by the number (46) 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 422946816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610908480).

422946816 is an abundant number, since it is smaller than the sum of its proper divisors (798870144).

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

422946816 is a wasteful number, since it uses less digits than its factorization.

422946816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 142 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 422946816 is about 20565.6708132752. The cubic root of 422946816 is about 750.6346130924.

The spelling of 422946816 in words is "four hundred twenty-two million, nine hundred forty-six thousand, eight hundred sixteen".