Search a number
-
+
22184461 = 132149881
BaseRepresentation
bin101010010100…
…0001000001101
31112202002100201
41110220020031
521134400321
62111253501
7356364505
oct124501015
945662321
1022184461
1111582572
12751a291
134799800
142d36a05
151e33291
hex152820d

22184461 has 12 divisors (see below), whose sum is σ = 24210900. Its totient is φ = 20317440.

The previous prime is 22184453. The next prime is 22184479. The reversal of 22184461 is 16448122.

22184461 = 33302 + 33312.

It can be written as a sum of positive squares in 6 ways, for example, as 11088900 + 11095561 = 3330^2 + 3331^2 .

It is not a de Polignac number, because 22184461 - 23 = 22184453 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22184401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24741 + ... + 25621.

It is an arithmetic number, because the mean of its divisors is an integer number (2017575).

Almost surely, 222184461 is an apocalyptic number.

22184461 is the 3331-st centered square number.

It is an amenable number.

22184461 is a deficient number, since it is larger than the sum of its proper divisors (2026439).

22184461 is a wasteful number, since it uses less digits than its factorization.

22184461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056 (or 1043 counting only the distinct ones).

The product of its digits is 3072, while the sum is 28.

The square root of 22184461 is about 4710.0383225617. The cubic root of 22184461 is about 280.9848862411.

The spelling of 22184461 in words is "twenty-two million, one hundred eighty-four thousand, four hundred sixty-one".

Divisors: 1 13 149 169 881 1937 11453 25181 131269 148889 1706497 22184461