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422125568 = 2132272
BaseRepresentation
bin11001001010010…
…010000000000000
31002102022012102022
4121022102000000
51331031004233
6105515341012
713314002534
oct3112220000
91072265368
10422125568
111a7308207
12b9451768
13695ba357
14400c3bc4
15270d4398
hex19292000

422125568 has 42 divisors (see below), whose sum is σ = 847934931. Its totient is φ = 210132992.

The previous prime is 422125567. The next prime is 422125573. The reversal of 422125568 is 865521224.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 211062784 + 211062784 = 14528^2 + 14528^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=14528.

It is a Duffinian number.

Its product of digits (38400) is a multiple of the sum of its prime factors (480).

It is not an unprimeable number, because it can be changed into a prime (422125567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1859471 + ... + 1859697.

Almost surely, 2422125568 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 422125568

422125568 is an abundant number, since it is smaller than the sum of its proper divisors (425809363).

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

422125568 is an frugal number, since it uses more digits than its factorization.

422125568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 229 counting only the distinct ones).

The product of its digits is 38400, while the sum is 35.

The square root of 422125568 is about 20545.6946341563. The cubic root of 422125568 is about 750.1484553535.

The spelling of 422125568 in words is "four hundred twenty-two million, one hundred twenty-five thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 128 227 256 454 512 908 1024 1816 2048 3632 4096 7264 8192 14528 29056 51529 58112 103058 116224 206116 232448 412232 464896 824464 929792 1648928 1859584 3297856 6595712 13191424 26382848 52765696 105531392 211062784 422125568