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23175828 = 22331317971
BaseRepresentation
bin101100001101…
…0001010010100
31121121110021000
41120122022110
521413111303
62144423300
7400664004
oct130321224
947543230
1023175828
111209a385
127917b30
134a55b10
143114004
15207bda3
hex161a294

23175828 has 96 divisors (see below), whose sum is σ = 68584320. Its totient is φ = 6704640.

The previous prime is 23175797. The next prime is 23175833. The reversal of 23175828 is 82857132.

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

It is a junction number, because it is equal to n+sod(n) for n = 23175792 and 23175801.

It is a congruent number.

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, 23383 + ... + 24353.

It is an arithmetic number, because the mean of its divisors is an integer number (714420).

Almost surely, 223175828 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 23175828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34292160).

23175828 is an abundant number, since it is smaller than the sum of its proper divisors (45408492).

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

23175828 is a wasteful number, since it uses less digits than its factorization.

23175828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1014 (or 1006 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 23175828 is about 4814.1279584157. The cubic root of 23175828 is about 285.1095423785.

The spelling of 23175828 in words is "twenty-three million, one hundred seventy-five thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 27 34 36 39 51 52 54 68 78 102 108 117 153 156 204 221 234 306 351 442 459 468 612 663 702 884 918 971 1326 1404 1836 1942 1989 2652 2913 3884 3978 5826 5967 7956 8739 11652 11934 12623 16507 17478 23868 25246 26217 33014 34956 37869 49521 50492 52434 66028 75738 99042 104868 113607 148563 151476 198084 214591 227214 297126 340821 429182 445689 454428 594252 643773 681642 858364 891378 1287546 1363284 1782756 1931319 2575092 3862638 5793957 7725276 11587914 23175828