Search a number
-
+
22530053 = 7213113313
BaseRepresentation
bin101010111110…
…0100000000101
31120101122102102
41111330200011
521231430203
62122521445
7362334200
oct125744005
946348372
1022530053
1111799187
127666285
13488abc0
142dc6937
151ea0888
hex157c805

22530053 has 24 divisors (see below), whose sum is σ = 28565208. Its totient is φ = 17611776.

The previous prime is 22530037. The next prime is 22530073. The reversal of 22530053 is 35003522.

It can be written as a sum of positive squares in 4 ways, for example, as 4831204 + 17698849 = 2198^2 + 4207^2 .

It is not a de Polignac number, because 22530053 - 24 = 22530037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22530073) 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 23 ways as a sum of consecutive naturals, for example, 71825 + ... + 72137.

It is an arithmetic number, because the mean of its divisors is an integer number (1190217).

Almost surely, 222530053 is an apocalyptic number.

It is an amenable number.

22530053 is a deficient number, since it is larger than the sum of its proper divisors (6035155).

22530053 is a wasteful number, since it uses less digits than its factorization.

22530053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 20.

The square root of 22530053 is about 4746.5832974888. The cubic root of 22530053 is about 282.4364458803.

Adding to 22530053 its reverse (35003522), we get a palindrome (57533575).

The spelling of 22530053 in words is "twenty-two million, five hundred thirty thousand, fifty-three".

Divisors: 1 7 13 49 91 113 313 637 791 1469 2191 4069 5537 10283 15337 28483 35369 71981 199381 247583 459797 1733081 3218579 22530053