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422102016 = 210347727
BaseRepresentation
bin11001001010001…
…100010000000000
31002102021000010000
4121022030100000
51331024231031
6105515040000
713313544060
oct3112142000
91072230100
10422102016
111a72a1546
12b9440000
13695ac70b
14400b93a0
15270cc3e6
hex1928c400

422102016 has 220 divisors, whose sum is σ = 1442529088. Its totient is φ = 120434688.

The previous prime is 422101997. The next prime is 422102089. The reversal of 422102016 is 610201224.

It is a super-2 number, since 2×4221020162 = 356340223822528512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 422102016.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 580245 + ... + 580971.

Almost surely, 2422102016 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 422102016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721264544).

422102016 is an abundant number, since it is smaller than the sum of its proper divisors (1020427072).

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

422102016 is an equidigital number, since it uses as much as digits as its factorization.

422102016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 422102016 is about 20545.1214647176. The cubic root of 422102016 is about 750.1345038768.

The spelling of 422102016 in words is "four hundred twenty-two million, one hundred two thousand, sixteen".