Search a number
-
+
22164584 = 2313297349
BaseRepresentation
bin101010010001…
…1010001101000
31112201002002112
41110203101220
521133231314
62111021452
7356252531
oct124432150
945632075
1022164584
1111569642
12750a888
134790750
142d2d688
151e2c43e
hex1523468

22164584 has 32 divisors (see below), whose sum is σ = 46305000. Its totient is φ = 9875712.

The previous prime is 22164581. The next prime is 22164599. The reversal of 22164584 is 48546122.

It can be written as a sum of positive squares in 4 ways, for example, as 17455684 + 4708900 = 4178^2 + 2170^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 22164584.

It is not an unprimeable number, because it can be changed into a prime (22164581) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 659 + ... + 6690.

Almost surely, 222164584 is an apocalyptic number.

It is an amenable number.

22164584 is an abundant number, since it is smaller than the sum of its proper divisors (24140416).

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

22164584 is a wasteful number, since it uses less digits than its factorization.

22164584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7397 (or 7393 counting only the distinct ones).

The product of its digits is 15360, while the sum is 32.

The square root of 22164584 is about 4707.9277819440. The cubic root of 22164584 is about 280.9009415153.

The spelling of 22164584 in words is "twenty-two million, one hundred sixty-four thousand, five hundred eighty-four".

Divisors: 1 2 4 8 13 26 29 52 58 104 116 232 377 754 1508 3016 7349 14698 29396 58792 95537 191074 213121 382148 426242 764296 852484 1704968 2770573 5541146 11082292 22164584