Search a number
-
+
23245596 = 223311171151
BaseRepresentation
bin101100010101…
…1001100011100
31121201222222000
41120223030130
521422324341
62150122300
7401404263
oct130531434
947658860
1023245596
1112137840
127950390
134a7b7ba
1431315da
1520928b6
hex162b31c

23245596 has 96 divisors (see below), whose sum is σ = 69672960. Its totient is φ = 6624000.

The previous prime is 23245591. The next prime is 23245597. The reversal of 23245596 is 69554232.

23245596 is a `hidden beast` number, since 23 + 2 + 45 + 596 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 23245596.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23245591) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19621 + ... + 20771.

It is an arithmetic number, because the mean of its divisors is an integer number (725760).

Almost surely, 223245596 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 23245596, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34836480).

23245596 is an abundant number, since it is smaller than the sum of its proper divisors (46427364).

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

23245596 is a wasteful number, since it uses less digits than its factorization.

23245596 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1192 (or 1184 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 23245596 is about 4821.3686853424. The cubic root of 23245596 is about 285.3953515923.

The spelling of 23245596 in words is "twenty-three million, two hundred forty-five thousand, five hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 27 33 34 36 44 51 54 66 68 99 102 108 132 153 187 198 204 297 306 374 396 459 561 594 612 748 918 1122 1151 1188 1683 1836 2244 2302 3366 3453 4604 5049 6732 6906 10098 10359 12661 13812 19567 20196 20718 25322 31077 37983 39134 41436 50644 58701 62154 75966 78268 113949 117402 124308 151932 176103 215237 227898 234804 341847 352206 430474 455796 528309 645711 683694 704412 860948 1056618 1291422 1367388 1937133 2113236 2582844 3874266 5811399 7748532 11622798 23245596