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13222900 = 2252132229
BaseRepresentation
bin110010011100…
…001111110100
3220212210102001
4302130033310
511341113100
61151225044
7220251505
oct62341764
926783361
1013222900
117511619
124518184
13297c802
141a82bac
151262d6a
hexc9c3f4

13222900 has 18 divisors (see below), whose sum is σ = 28693910. Its totient is φ = 5289120.

The previous prime is 13222883. The next prime is 13222901. The reversal of 13222900 is 922231.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 60516 + 13162384 = 246^2 + 3628^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13222901) 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 5 ways as a sum of consecutive naturals, for example, 66015 + ... + 66214.

Almost surely, 213222900 is an apocalyptic number.

13222900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13222900 is an abundant number, since it is smaller than the sum of its proper divisors (15471010).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13222900 is a wasteful number, since it uses less digits than its factorization.

13222900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132243 (or 132236 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 13222900 is about 3636.3305680315. The cubic root of 13222900 is about 236.4697385396.

It can be divided in two parts, 132 and 22900, that added together give a palindrome (23032).

The spelling of 13222900 in words is "thirteen million, two hundred twenty-two thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 132229 264458 528916 661145 1322290 2644580 3305725 6611450 13222900