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23122164 = 223131929269
BaseRepresentation
bin101100000110…
…1000011110100
31121111201122110
41120031003310
521404402124
62143331020
7400351362
oct130150364
947451573
1023122164
111206302a
1278b0a70
134a37570
1430dc632
15206b029
hex160d0f4

23122164 has 96 divisors (see below), whose sum is σ = 63504000. Its totient is φ = 6483456.

The previous prime is 23122147. The next prime is 23122213. The reversal of 23122164 is 46122132.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 23122164.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 85822 + ... + 86090.

It is an arithmetic number, because the mean of its divisors is an integer number (661500).

Almost surely, 223122164 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 23122164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31752000).

23122164 is an abundant number, since it is smaller than the sum of its proper divisors (40381836).

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

23122164 is a wasteful number, since it uses less digits than its factorization.

23122164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 335 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 23122164 is about 4808.5511331377. The cubic root of 23122164 is about 284.8893137432.

Adding to 23122164 its reverse (46122132), we get a palindrome (69244296).

The spelling of 23122164 in words is "twenty-three million, one hundred twenty-two thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 12 13 19 26 29 38 39 52 57 58 76 78 87 114 116 156 174 228 247 269 348 377 494 538 551 741 754 807 988 1076 1102 1131 1482 1508 1614 1653 2204 2262 2964 3228 3306 3497 4524 5111 6612 6994 7163 7801 10222 10491 13988 14326 15333 15602 20444 20982 21489 23403 28652 30666 31204 41964 42978 46806 61332 66443 85956 93612 101413 132886 148219 199329 202826 265772 296438 304239 398658 405652 444657 592876 608478 797316 889314 1216956 1778628 1926847 3853694 5780541 7707388 11561082 23122164