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22145011344 = 2432124012
BaseRepresentation
bin10100100111111100…
…100000111010010000
32010011022202010122100
4110213330200322100
5330323110330334
614101232240400
71412526330201
oct244774407220
963138663570
1022145011344
119434310875
1243603a0100
13211bbc5311
14110112b5a8
15899224c99
hex527f20e90

22145011344 has 45 divisors (see below), whose sum is σ = 61980272809. Its totient is φ = 7381075200.

The previous prime is 22145011337. The next prime is 22145011351. The reversal of 22145011344 is 44311054122.

The square root of 22145011344 is 148812.

It is a perfect power (a square), and thus also a powerful number.

22145011344 is a `hidden beast` number, since 2 + 21 + 4 + 501 + 134 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (22145011337) and next prime (22145011351).

It can be written as a sum of positive squares in only one way, i.e., 8315251344 + 13829760000 = 91188^2 + 117600^2 .

It is a super-3 number, since 3×221450113443 (a number of 32 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1779544 + ... + 1791944.

Almost surely, 222145011344 is an apocalyptic number.

22145011344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

22145011344 is the 148812-nd square number.

It is an amenable number.

22145011344 is an abundant number, since it is smaller than the sum of its proper divisors (39835261465).

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

22145011344 is an frugal number, since it uses more digits than its factorization.

22145011344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24816 (or 12406 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 22145011344 its reverse (44311054122), we get a palindrome (66456065466).

The spelling of 22145011344 in words is "twenty-two billion, one hundred forty-five million, eleven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 12401 24802 37203 49604 74406 99208 111609 148812 198416 223218 297624 446436 595248 892872 1785744 153784801 307569602 461354403 615139204 922708806 1230278408 1384063209 1845417612 2460556816 2768126418 3690835224 5536252836 7381670448 11072505672 22145011344