Search a number
-
+
23320638 = 23211196199
BaseRepresentation
bin101100011110…
…1100000111110
31121212210220100
41120331200332
521432230023
62151501530
7402136125
oct130754076
947783810
1023320638
1112189160
1279878a6
134aa69c3
143150abc
1520a9c43
hex163d83e

23320638 has 48 divisors (see below), whose sum is σ = 58032000. Its totient is φ = 6693840.

The previous prime is 23320613. The next prime is 23320667. The reversal of 23320638 is 83602332.

23320638 is a `hidden beast` number, since 2 + 3 + 3 + 20 + 638 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 663 + ... + 6861.

It is an arithmetic number, because the mean of its divisors is an integer number (1209000).

Almost surely, 223320638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23320638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29016000).

23320638 is an abundant number, since it is smaller than the sum of its proper divisors (34711362).

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

23320638 is a wasteful number, since it uses less digits than its factorization.

23320638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6237 (or 6234 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 23320638 is about 4829.1446447585. The cubic root of 23320638 is about 285.7021284589.

The spelling of 23320638 in words is "twenty-three million, three hundred twenty thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 99 114 171 198 209 342 418 627 1254 1881 3762 6199 12398 18597 37194 55791 68189 111582 117781 136378 204567 235562 353343 409134 613701 706686 1060029 1227402 1295591 2120058 2591182 3886773 7773546 11660319 23320638