Search a number
-
+
22027808800 = 255227534761
BaseRepresentation
bin10100100000111101…
…011011000000100000
32002212011012121222101
4110200331123000200
5330103104340200
614041444220144
71406604166624
oct244075330040
962764177871
1022027808800
11938413a868
12432909a654
13210083a7ba
1410cd73d184
1588dcc326a
hex520f5b020

22027808800 has 36 divisors (see below), whose sum is σ = 53775390186. Its totient is φ = 8811123200.

The previous prime is 22027808779. The next prime is 22027808809. The reversal of 22027808800 is 880872022.

It can be written as a sum of positive squares in 3 ways, for example, as 10444022416 + 11583786384 = 102196^2 + 107628^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 22027808800.

It is not an unprimeable number, because it can be changed into a prime (22027808809) by changing a digit.

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, 13766581 + ... + 13768180.

Almost surely, 222027808800 is an apocalyptic number.

22027808800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22027808800 is an abundant number, since it is smaller than the sum of its proper divisors (31747581386).

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

22027808800 is a wasteful number, since it uses less digits than its factorization.

22027808800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27534781 (or 27534768 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 37.

The spelling of 22027808800 in words is "twenty-two billion, twenty-seven million, eight hundred eight thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 27534761 55069522 110139044 137673805 220278088 275347610 440556176 550695220 688369025 881112352 1101390440 1376738050 2202780880 2753476100 4405561760 5506952200 11013904400 22027808800