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22731345 = 3257213261
BaseRepresentation
bin101011010110…
…1101001010001
31120202212112200
41112231221101
521304400340
62131113413
7364133100
oct126555121
946685480
1022731345
111191643a
127742869
13492b700
14303a037
151ee0330
hex15ada51

22731345 has 108 divisors (see below), whose sum is σ = 50444316. Its totient is φ = 9434880.

The previous prime is 22731341. The next prime is 22731367. The reversal of 22731345 is 54313722.

22731345 is nontrivially palindromic in base 16.

It can be written as a sum of positive squares in 6 ways, for example, as 10870209 + 11861136 = 3297^2 + 3444^2 .

It is not a de Polignac number, because 22731345 - 22 = 22731341 is a prime.

Its product of digits (5040) is a multiple of the sum of its prime factors (112).

It is not an unprimeable number, because it can be changed into a prime (22731341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 372615 + ... + 372675.

It is an arithmetic number, because the mean of its divisors is an integer number (467077).

Almost surely, 222731345 is an apocalyptic number.

It is an amenable number.

22731345 is an abundant number, since it is smaller than the sum of its proper divisors (27712971).

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

22731345 is a wasteful number, since it uses less digits than its factorization.

22731345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 89 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 22731345 is about 4767.7400306644. The cubic root of 22731345 is about 283.2750845271.

The spelling of 22731345 in words is "twenty-two million, seven hundred thirty-one thousand, three hundred forty-five".

Divisors: 1 3 5 7 9 13 15 21 35 39 45 49 61 63 65 91 105 117 147 169 183 195 245 273 305 315 427 441 455 507 549 585 637 735 793 819 845 915 1183 1281 1365 1521 1911 2135 2205 2379 2535 2745 2989 3185 3549 3843 3965 4095 5551 5733 5915 6405 7137 7605 8281 8967 9555 10309 10647 11895 14945 16653 17745 19215 24843 26901 27755 28665 30927 35685 38857 41405 44835 49959 51545 53235 72163 74529 83265 92781 116571 124215 134505 154635 194285 216489 249795 349713 360815 372645 463905 505141 582855 649467 1082445 1515423 1748565 2525705 3247335 4546269 7577115 22731345