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22246444961 = 132131635769
BaseRepresentation
bin10100101101111111…
…011100111110100001
32010102101121111101222
4110231333130332201
5331030042214321
614115254304425
71415200443056
oct245577347641
963371544358
1022246444961
1194865a1404
12438a358115
132136c1b500
1411107b302d
158a30ae3ab
hex52dfdcfa1

22246444961 has 6 divisors (see below), whose sum is σ = 24089345910. Its totient is φ = 20535179808.

The previous prime is 22246444949. The next prime is 22246444973. The reversal of 22246444961 is 16944464222.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22246444949) and next prime (22246444973).

It can be written as a sum of positive squares in 3 ways, for example, as 2512225 + 22243932736 = 1585^2 + 149144^2 .

It is a de Polignac number, because none of the positive numbers 2k-22246444961 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22246444061) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 65817716 + ... + 65818053.

It is an arithmetic number, because the mean of its divisors is an integer number (4014890985).

Almost surely, 222246444961 is an apocalyptic number.

It is an amenable number.

22246444961 is a deficient number, since it is larger than the sum of its proper divisors (1842900949).

22246444961 is a wasteful number, since it uses less digits than its factorization.

22246444961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131635795 (or 131635782 counting only the distinct ones).

The product of its digits is 663552, while the sum is 44.

The spelling of 22246444961 in words is "twenty-two billion, two hundred forty-six million, four hundred forty-four thousand, nine hundred sixty-one".

Divisors: 1 13 169 131635769 1711264997 22246444961