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23250084 = 223111317797
BaseRepresentation
bin101100010110…
…0010010100100
31121202020010020
41120230102210
521423000314
62150155140
7401423334
oct130542244
947666106
1023250084
1112140150
127952ab0
134a80860
1431330c4
152093da9
hex162c4a4

23250084 has 96 divisors (see below), whose sum is σ = 67568256. Its totient is φ = 6113280.

The previous prime is 23250061. The next prime is 23250103. The reversal of 23250084 is 48005232.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28774 + ... + 29570.

It is an arithmetic number, because the mean of its divisors is an integer number (703836).

Almost surely, 223250084 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 23250084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33784128).

23250084 is an abundant number, since it is smaller than the sum of its proper divisors (44318172).

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

23250084 is a wasteful number, since it uses less digits than its factorization.

23250084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 23250084 is about 4821.8340908828. The cubic root of 23250084 is about 285.4137173925.

The spelling of 23250084 in words is "twenty-three million, two hundred fifty thousand, eighty-four".

Divisors: 1 2 3 4 6 11 12 13 17 22 26 33 34 39 44 51 52 66 68 78 102 132 143 156 187 204 221 286 374 429 442 561 572 663 748 797 858 884 1122 1326 1594 1716 2244 2391 2431 2652 3188 4782 4862 7293 8767 9564 9724 10361 13549 14586 17534 20722 26301 27098 29172 31083 35068 40647 41444 52602 54196 62166 81294 105204 113971 124332 149039 162588 176137 227942 298078 341913 352274 447117 455884 528411 596156 683826 704548 894234 1056822 1367652 1788468 1937507 2113644 3875014 5812521 7750028 11625042 23250084