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22269745 = 517377397
BaseRepresentation
bin101010011110…
…0111100110001
31112220102100101
41110330330301
521200112440
62113152401
7360201241
oct124747461
945812311
1022269745
1111630653
12755b701
1347c9584
142d59b21
151e4d69a
hex153cf31

22269745 has 32 divisors (see below), whose sum is σ = 29762208. Its totient is φ = 15925248.

The previous prime is 22269721. The next prime is 22269757. The reversal of 22269745 is 54796222.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 142129 + 22127616 = 377^2 + 4704^2 .

It is a 4-Lehmer number, since φ(22269745) divides (22269745-1)4.

It is a cyclic number.

It is not a de Polignac number, because 22269745 - 25 = 22269713 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 229537 + ... + 229633.

It is an arithmetic number, because the mean of its divisors is an integer number (930069).

It is a Poulet number, since it divides 222269744-1.

Almost surely, 222269745 is an apocalyptic number.

It is an amenable number.

22269745 is a deficient number, since it is larger than the sum of its proper divisors (7492463).

22269745 is a wasteful number, since it uses less digits than its factorization.

22269745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229.

The product of its digits is 60480, while the sum is 37.

The square root of 22269745 is about 4719.0830677156. The cubic root of 22269745 is about 281.3444903908.

The spelling of 22269745 in words is "twenty-two million, two hundred sixty-nine thousand, seven hundred forty-five".

Divisors: 1 5 17 37 73 85 97 185 365 485 629 1241 1649 2701 3145 3589 6205 7081 8245 13505 17945 35405 45917 61013 120377 229585 261997 305065 601885 1309985 4453949 22269745