Search a number
-
+
22663692 = 22331731213
BaseRepresentation
bin101011001110…
…1001000001100
31120122102202000
41112131020030
521300214232
62125432300
7363431622
oct126351014
946572660
1022663692
111187a627
12770b690
13490698c
14301d512
151eca27c
hex159d20c

22663692 has 48 divisors (see below), whose sum is σ = 59146080. Its totient is φ = 7504704.

The previous prime is 22663691. The next prime is 22663699. The reversal of 22663692 is 29636622.

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 not an unprimeable number, because it can be changed into a prime (22663691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18078 + ... + 19290.

It is an arithmetic number, because the mean of its divisors is an integer number (1232210).

Almost surely, 222663692 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 22663692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29573040).

22663692 is an abundant number, since it is smaller than the sum of its proper divisors (36482388).

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

22663692 is a wasteful number, since it uses less digits than its factorization.

22663692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1399 (or 1391 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 22663692 is about 4760.6398729583. The cubic root of 22663692 is about 282.9937776188.

The spelling of 22663692 in words is "twenty-two million, six hundred sixty-three thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 173 346 519 692 1038 1213 1557 2076 2426 3114 3639 4671 4852 6228 7278 9342 10917 14556 18684 21834 32751 43668 65502 131004 209849 419698 629547 839396 1259094 1888641 2518188 3777282 5665923 7554564 11331846 22663692