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422020800 = 2633529769
BaseRepresentation
bin11001001001111…
…000011011000000
31002102002212201000
4121021320123000
51331014131200
6105513212000
713313055225
oct3111703300
91072085630
10422020800
111a7246523
12b9401000
1369581766
144009794c
15270b3300
hex192786c0

422020800 has 168 divisors, whose sum is σ = 1538579600. Its totient is φ = 112527360.

The previous prime is 422020793. The next prime is 422020817. The reversal of 422020800 is 8020224.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38316 + ... + 48084.

Almost surely, 2422020800 is an apocalyptic number.

422020800 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 422020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769289800).

422020800 is an abundant number, since it is smaller than the sum of its proper divisors (1116558800).

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

422020800 is a wasteful number, since it uses less digits than its factorization.

422020800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9800 (or 9779 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 422020800 is about 20543.1448420148. The cubic root of 422020800 is about 750.0863900486.

The spelling of 422020800 in words is "four hundred twenty-two million, twenty thousand, eight hundred".