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22406197969 = 18128272
BaseRepresentation
bin10100110111100000…
…110111001011010001
32010211112012210100001
4110313200313023101
5331341441313334
614143202330001
71422150353221
oct246740671321
963745183301
1022406197969
119558795191
124413959901
13216105370c
141127aba081
158b2118714
hex5378372d1

22406197969 has 9 divisors (see below), whose sum is σ = 22557949851. Its totient is φ = 22255463160.

The previous prime is 22406197951. The next prime is 22406197997. The reversal of 22406197969 is 96979160422.

The square root of 22406197969 is 149687.

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

It can be written as a sum of positive squares in only one way, i.e., 246898369 + 22159299600 = 15713^2 + 148860^2 .

It is not a de Polignac number, because 22406197969 - 219 = 22405673681 is a prime.

It is a super-2 number, since 2×224061979692 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22406197909) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 27092934 + ... + 27093760.

Almost surely, 222406197969 is an apocalyptic number.

22406197969 is the 149687-th square number.

22406197969 is the 74844-th centered octagonal number.

It is an amenable number.

22406197969 is a deficient number, since it is larger than the sum of its proper divisors (151751882).

22406197969 is an frugal number, since it uses more digits than its factorization.

22406197969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2016 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 55.

The spelling of 22406197969 in words is "twenty-two billion, four hundred six million, one hundred ninety-seven thousand, nine hundred sixty-nine".

Divisors: 1 181 827 32761 149687 683929 27093347 123791149 22406197969