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22249013824 = 262341148501
BaseRepresentation
bin10100101110001001…
…010000001001000000
32010102120110000020001
4110232021100021000
5331031221420244
614115425325344
71415231332342
oct245611201100
963376400201
1022249013824
119487a96434
12438b196854
13213760a84b
141110c81292
158a341a5d4
hex52e250240

22249013824 has 28 divisors (see below), whose sum is σ = 44169543868. Its totient is φ = 11119680000.

The previous prime is 22249013783. The next prime is 22249013827. The reversal of 22249013824 is 42831094222.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 9517953600 + 12731060224 = 97560^2 + 112832^2 .

It is a super-2 number, since 2×222490138242 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22249013827) 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 3 ways as a sum of consecutive naturals, for example, 75574 + ... + 224074.

Almost surely, 222249013824 is an apocalyptic number.

It is an amenable number.

22249013824 is a deficient number, since it is larger than the sum of its proper divisors (21920530044).

22249013824 is a wasteful number, since it uses less digits than its factorization.

22249013824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150854 (or 150844 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The spelling of 22249013824 in words is "twenty-two billion, two hundred forty-nine million, thirteen thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 2341 4682 9364 18728 37456 74912 148501 149824 297002 594004 1188008 2376016 4752032 9504064 347640841 695281682 1390563364 2781126728 5562253456 11124506912 22249013824