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22205969 = 411134793
BaseRepresentation
bin101010010110…
…1011000010001
31112210011212022
41110231120101
521141042334
62111541225
7356514302
oct124553021
945704768
1022205969
1111597745
12752a815
1347a6536
142d407a9
151e3982e
hex152d611

22205969 has 8 divisors (see below), whose sum is σ = 22953672. Its totient is φ = 21468160.

The previous prime is 22205959. The next prime is 22205977. The reversal of 22205969 is 96950222.

It can be written as a sum of positive squares in 4 ways, for example, as 3025 + 22202944 = 55^2 + 4712^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 22205969 - 28 = 22205713 is a prime.

It is a super-2 number, since 2×222059692 = 986210118457922, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22205929) 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 7 ways as a sum of consecutive naturals, for example, 2237 + ... + 7029.

It is an arithmetic number, because the mean of its divisors is an integer number (2869209).

Almost surely, 222205969 is an apocalyptic number.

It is an amenable number.

22205969 is a deficient number, since it is larger than the sum of its proper divisors (747703).

22205969 is a wasteful number, since it uses less digits than its factorization.

22205969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4947.

The product of its (nonzero) digits is 19440, while the sum is 35.

The square root of 22205969 is about 4712.3209780320. The cubic root of 22205969 is about 281.0756625572.

The spelling of 22205969 in words is "twenty-two million, two hundred five thousand, nine hundred sixty-nine".

Divisors: 1 41 113 4633 4793 196513 541609 22205969