Search a number
-
+
23118648 = 2337241571
BaseRepresentation
bin101100000110…
…0001100111000
31121111112211020
41120030030320
521404244043
62143302440
7400335210
oct130141470
947445736
1023118648
1112060423
1278aaa20
134a35a97
1430db240
152069e83
hex160c338

23118648 has 64 divisors (see below), whose sum is σ = 66443520. Its totient is φ = 6566400.

The previous prime is 23118643. The next prime is 23118661. The reversal of 23118648 is 84681132.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23118643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40203 + ... + 40773.

It is an arithmetic number, because the mean of its divisors is an integer number (1038180).

Almost surely, 223118648 is an apocalyptic number.

23118648 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23118648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33221760).

23118648 is an abundant number, since it is smaller than the sum of its proper divisors (43324872).

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

23118648 is a wasteful number, since it uses less digits than its factorization.

23118648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 824 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 23118648 is about 4808.1855205472. The cubic root of 23118648 is about 284.8748727418.

The spelling of 23118648 in words is "twenty-three million, one hundred eighteen thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 241 482 571 723 964 1142 1446 1687 1713 1928 2284 2892 3374 3426 3997 4568 5061 5784 6748 6852 7994 10122 11991 13496 13704 15988 20244 23982 31976 40488 47964 95928 137611 275222 412833 550444 825666 963277 1100888 1651332 1926554 2889831 3302664 3853108 5779662 7706216 11559324 23118648