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23193648 = 2433531013
BaseRepresentation
bin101100001111…
…0100000110000
31121122100201000
41120132200300
521414144043
62145042000
7401066652
oct130364060
947570630
1023193648
1112101805
127926300
134a60c6a
14311a6d2
1520822d3
hex161e830

23193648 has 80 divisors (see below), whose sum is σ = 67897440. Its totient is φ = 7577856.

The previous prime is 23193619. The next prime is 23193671. The reversal of 23193648 is 84639132.

23193648 is a `hidden beast` number, since 2 + 3 + 1 + 9 + 3 + 648 = 666.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22390 + ... + 23402.

It is an arithmetic number, because the mean of its divisors is an integer number (848718).

Almost surely, 223193648 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 23193648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33948720).

23193648 is an abundant number, since it is smaller than the sum of its proper divisors (44703792).

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

23193648 is a wasteful number, since it uses less digits than its factorization.

23193648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1083 (or 1071 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 23193648 is about 4815.9784052672. The cubic root of 23193648 is about 285.1825976673.

The spelling of 23193648 in words is "twenty-three million, one hundred ninety-three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 53 54 72 106 108 144 159 212 216 318 424 432 477 636 848 954 1013 1272 1431 1908 2026 2544 2862 3039 3816 4052 5724 6078 7632 8104 9117 11448 12156 16208 18234 22896 24312 27351 36468 48624 53689 54702 72936 107378 109404 145872 161067 214756 218808 322134 429512 437616 483201 644268 859024 966402 1288536 1449603 1932804 2577072 2899206 3865608 5798412 7731216 11596824 23193648