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422425809 = 32132172312
BaseRepresentation
bin11001001011011…
…011010011010001
31002102212110021100
4121023123103101
51331120111214
6105530015013
713316363061
oct3113332321
91072773240
10422425809
111a74a2843
12b9577469
1369693c00
14401613a1
1527143309
hex192db4d1

422425809 has 81 divisors (see below), whose sum is σ = 725240529. Its totient is φ = 236770560.

The previous prime is 422425777. The next prime is 422425853. The reversal of 422425809 is 908524224.

The square root of 422425809 is 20553.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3814209 + 418611600 = 1953^2 + 20460^2 .

It is not a de Polignac number, because 422425809 - 25 = 422425777 is a prime.

It is not an unprimeable number, because it can be changed into a prime (422420809) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 13626624 + ... + 13626654.

Almost surely, 2422425809 is an apocalyptic number.

422425809 is the 20553-rd square number.

422425809 is the 10277-th centered octagonal number.

It is an amenable number.

422425809 is a deficient number, since it is larger than the sum of its proper divisors (302814720).

422425809 is a wasteful number, since it uses less digits than its factorization.

422425809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The cubic root of 422425809 is about 750.3262633824.

Multiplying 422425809 by its sum of digits (36), we get a square (15207329124 = 1233182).

The spelling of 422425809 in words is "four hundred twenty-two million, four hundred twenty-five thousand, eight hundred nine".

Divisors: 1 3 9 13 17 31 39 51 93 117 153 169 221 279 289 403 507 527 663 867 961 1209 1521 1581 1989 2601 2873 2883 3627 3757 4743 5239 6851 8619 8649 8959 11271 12493 15717 16337 20553 25857 26877 33813 37479 47151 48841 49011 61659 80631 89063 112437 116467 146523 147033 162409 212381 267189 277729 349401 439569 487227 637143 801567 833187 1048203 1461681 1514071 1911429 2499561 2760953 3610477 4542213 8282859 10831431 13626639 24848577 32494293 46936201 140808603 422425809