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22629269 = 132293457
BaseRepresentation
bin101011001010…
…0101110010101
31120120200112002
41112110232111
521243114034
62125005045
7363226355
oct126245625
946520462
1022629269
1111856783
1276b3785
1348c4100
143010b65
151ebee7e
hex1594b95

22629269 has 12 divisors (see below), whose sum is σ = 24641316. Its totient is φ = 20771712.

The previous prime is 22629259. The next prime is 22629281. The reversal of 22629269 is 96292622.

It can be written as a sum of positive squares in 6 ways, for example, as 180625 + 22448644 = 425^2 + 4738^2 .

It is a de Polignac number, because none of the positive numbers 2k-22629269 is a prime.

It is a super-2 number, since 2×226292692 = 1024167630948722, which contains 22 as substring.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22629259) 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 11 ways as a sum of consecutive naturals, for example, 49289 + ... + 49745.

It is an arithmetic number, because the mean of its divisors is an integer number (2053443).

Almost surely, 222629269 is an apocalyptic number.

It is an amenable number.

22629269 is a deficient number, since it is larger than the sum of its proper divisors (2012047).

22629269 is a wasteful number, since it uses less digits than its factorization.

22629269 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 763 counting only the distinct ones).

The product of its digits is 46656, while the sum is 38.

The square root of 22629269 is about 4757.0231237613. The cubic root of 22629269 is about 282.8504289392.

The spelling of 22629269 in words is "twenty-two million, six hundred twenty-nine thousand, two hundred sixty-nine".

Divisors: 1 13 169 293 457 3809 5941 49517 77233 133901 1740713 22629269