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23209164 = 223211294347
BaseRepresentation
bin101100010001…
…0010011001100
31121200010222200
41120202103030
521420143124
62145241500
7401163126
oct130422314
947603880
1023209164
1112112430
127933290
134a68044
143122216
152086bc9
hex16224cc

23209164 has 144 divisors (see below), whose sum is σ = 69189120. Its totient is φ = 6491520.

The previous prime is 23209141. The next prime is 23209169. The reversal of 23209164 is 46190232.

It is not an unprimeable number, because it can be changed into a prime (23209169) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 493789 + ... + 493835.

It is an arithmetic number, because the mean of its divisors is an integer number (480480).

Almost surely, 223209164 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 23209164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34594560).

23209164 is an abundant number, since it is smaller than the sum of its proper divisors (45979956).

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

23209164 is a wasteful number, since it uses less digits than its factorization.

23209164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 23209164 is about 4817.5890235677. The cubic root of 23209164 is about 285.2461769547.

Adding to 23209164 its reverse (46190232), we get a palindrome (69399396).

The spelling of 23209164 in words is "twenty-three million, two hundred nine thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 29 33 36 43 44 47 58 66 86 87 94 99 116 129 132 141 172 174 188 198 258 261 282 319 348 387 396 423 473 516 517 522 564 638 774 846 946 957 1034 1044 1247 1276 1363 1419 1548 1551 1692 1892 1914 2021 2068 2494 2726 2838 2871 3102 3741 3828 4042 4089 4257 4653 4988 5452 5676 5742 6063 6204 7482 8084 8178 8514 9306 11223 11484 12126 12267 13717 14964 14993 16356 17028 18189 18612 22231 22446 24252 24534 27434 29986 36378 41151 44462 44892 44979 49068 54868 58609 59972 66693 72756 82302 88924 89958 117218 123453 133386 134937 164604 175827 179916 200079 234436 246906 266772 269874 351654 400158 493812 527481 539748 644699 703308 800316 1054962 1289398 1934097 2109924 2578796 3868194 5802291 7736388 11604582 23209164