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422058560 = 26572112447
BaseRepresentation
bin11001001010000…
…001101001000000
31002102011210111112
4121022001221000
51331021333220
6105514102452
713313303300
oct3112015100
91072153445
10422058560
111a7271930
12b941aa28
13695959c1
14400a7600
15270be5c5
hex19281a40

422058560 has 168 divisors, whose sum is σ = 1275917184. Its totient is φ = 131496960.

The previous prime is 422058517. The next prime is 422058587. The reversal of 422058560 is 65850224.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 171257 + ... + 173703.

Almost surely, 2422058560 is an apocalyptic number.

422058560 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 422058560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637958592).

422058560 is an abundant number, since it is smaller than the sum of its proper divisors (853858624).

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

422058560 is a wasteful number, since it uses less digits than its factorization.

422058560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2489 (or 2472 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The square root of 422058560 is about 20544.0638628291. The cubic root of 422058560 is about 750.1087605237.

The spelling of 422058560 in words is "four hundred twenty-two million, fifty-eight thousand, five hundred sixty".