Search a number
-
+
22564728 = 2332313399
BaseRepresentation
bin101011000010…
…0111101111000
31120110101222200
41112010331320
521234032403
62123350200
7362540244
oct126047570
946411880
1022564728
111181223a
127682360
1348a0914
142dd5424
151eaaca3
hex1584f78

22564728 has 24 divisors (see below), whose sum is σ = 61113000. Its totient is φ = 7521552.

The previous prime is 22564699. The next prime is 22564741. The reversal of 22564728 is 82746522.

22564728 is a `hidden beast` number, since 2 + 2 + 5 + 647 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

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 = 22564692 and 22564701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 156628 + ... + 156771.

It is an arithmetic number, because the mean of its divisors is an integer number (2546375).

Almost surely, 222564728 is an apocalyptic number.

It is an amenable number.

22564728 is an abundant number, since it is smaller than the sum of its proper divisors (38548272).

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

22564728 is a wasteful number, since it uses less digits than its factorization.

22564728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313411 (or 313404 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 22564728 is about 4750.2345205263. The cubic root of 22564728 is about 282.5812667234.

The spelling of 22564728 in words is "twenty-two million, five hundred sixty-four thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 313399 626798 940197 1253596 1880394 2507192 2820591 3760788 5641182 7521576 11282364 22564728