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422125120 = 26510331277
BaseRepresentation
bin11001001010010…
…001111001000000
31002102022011210201
4121022101321000
51331031000440
6105515334544
713314001324
oct3112217100
91072264721
10422125120
111a730793a
12b9451454
13695ba0a1
14400c3984
15270d419a
hex19291e40

422125120 has 56 divisors (see below), whose sum is σ = 1006946424. Its totient is φ = 168554496.

The previous prime is 422125091. The next prime is 422125127. The reversal of 422125120 is 21521224.

It can be written as a sum of positive squares in 4 ways, for example, as 175509504 + 246615616 = 13248^2 + 15704^2 .

It is not an unprimeable number, because it can be changed into a prime (422125127) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 329922 + ... + 331198.

Almost surely, 2422125120 is an apocalyptic number.

422125120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

422125120 is an abundant number, since it is smaller than the sum of its proper divisors (584821304).

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

422125120 is a wasteful number, since it uses less digits than its factorization.

422125120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2327 (or 2317 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 422125120 is about 20545.6837316260. The cubic root of 422125120 is about 750.1481899770.

Adding to 422125120 its reverse (21521224), we get a palindrome (443646344).

The spelling of 422125120 in words is "four hundred twenty-two million, one hundred twenty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 1033 1277 2066 2554 4132 5108 5165 6385 8264 10216 10330 12770 16528 20432 20660 25540 33056 40864 41320 51080 66112 81728 82640 102160 165280 204320 330560 408640 1319141 2638282 5276564 6595705 10553128 13191410 21106256 26382820 42212512 52765640 84425024 105531280 211062560 422125120