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22205525 = 526114561
BaseRepresentation
bin101010010110…
…1010001010101
31112210011020212
41110231101111
521141034100
62111535205
7356513066
oct124552125
945704225
1022205525
1111597381
12752a505
1347a6284
142d4056d
151e39635
hex152d455

22205525 has 12 divisors (see below), whose sum is σ = 27988164. Its totient is φ = 17472000.

The previous prime is 22205497. The next prime is 22205527. The reversal of 22205525 is 52550222.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1036324 + 21169201 = 1018^2 + 4601^2 .

It is not a de Polignac number, because 22205525 - 212 = 22201429 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 22205525.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22205527) 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, 5756 + ... + 8805.

It is an arithmetic number, because the mean of its divisors is an integer number (2332347).

Almost surely, 222205525 is an apocalyptic number.

22205525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

22205525 is a deficient number, since it is larger than the sum of its proper divisors (5782639).

22205525 is a wasteful number, since it uses less digits than its factorization.

22205525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14632 (or 14627 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 23.

The square root of 22205525 is about 4712.2738672535. The cubic root of 22205525 is about 281.0737892107.

Adding to 22205525 its reverse (52550222), we get a palindrome (74755747).

The spelling of 22205525 in words is "twenty-two million, two hundred five thousand, five hundred twenty-five".

Divisors: 1 5 25 61 305 1525 14561 72805 364025 888221 4441105 22205525