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22132133 = 291574861
BaseRepresentation
bin101010001101…
…1010110100101
31112122102120122
41110123112211
521131212013
62110211325
7356056112
oct124332645
945572518
1022132133
1111547221
1274b3b45
13477ba4a
142d21909
151e22a08
hex151b5a5

22132133 has 8 divisors (see below), whose sum is σ = 23045880. Its totient is φ = 21228480.

The previous prime is 22132127. The next prime is 22132151. The reversal of 22132133 is 33123122.

It can be written as a sum of positive squares in 4 ways, for example, as 5987809 + 16144324 = 2447^2 + 4018^2 .

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 22132133 - 214 = 22115749 is a prime.

It is a super-2 number, since 2×221321332 = 979662622259378, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22132153) 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 7 ways as a sum of consecutive naturals, for example, 2123 + ... + 6983.

It is an arithmetic number, because the mean of its divisors is an integer number (2880735).

Almost surely, 222132133 is an apocalyptic number.

It is an amenable number.

22132133 is a deficient number, since it is larger than the sum of its proper divisors (913747).

22132133 is a wasteful number, since it uses less digits than its factorization.

22132133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5047.

The product of its digits is 216, while the sum is 17.

The square root of 22132133 is about 4704.4800987994. The cubic root of 22132133 is about 280.7637862420.

Adding to 22132133 its reverse (33123122), we get a palindrome (55255255).

The spelling of 22132133 in words is "twenty-two million, one hundred thirty-two thousand, one hundred thirty-three".

Divisors: 1 29 157 4553 4861 140969 763177 22132133