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422135136 = 25322950543
BaseRepresentation
bin11001001010010…
…100010101100000
31002102022200112200
4121022110111200
51331031311021
6105515453200
713314042453
oct3112242540
91072280480
10422135136
111a7314415
12b9457200
13695c1807
14400c749a
15270d7126
hex19294560

422135136 has 72 divisors (see below), whose sum is σ = 1241866080. Its totient is φ = 135856896.

The previous prime is 422135113. The next prime is 422135137. The reversal of 422135136 is 631531224.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422135137) 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 11 ways as a sum of consecutive naturals, for example, 16920 + ... + 33623.

It is an arithmetic number, because the mean of its divisors is an integer number (17248140).

Almost surely, 2422135136 is an apocalyptic number.

It is an amenable number.

422135136 is an abundant number, since it is smaller than the sum of its proper divisors (819730944).

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

422135136 is a wasteful number, since it uses less digits than its factorization.

422135136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50588 (or 50577 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 422135136 is about 20545.9274796734. The cubic root of 422135136 is about 750.1541229926.

The spelling of 422135136 in words is "four hundred twenty-two million, one hundred thirty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 232 261 288 348 464 522 696 928 1044 1392 2088 2784 4176 8352 50543 101086 151629 202172 303258 404344 454887 606516 808688 909774 1213032 1465747 1617376 1819548 2426064 2931494 3639096 4397241 4852128 5862988 7278192 8794482 11725976 13191723 14556384 17588964 23451952 26383446 35177928 46903904 52766892 70355856 105533784 140711712 211067568 422135136