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13225300 = 22521121093
BaseRepresentation
bin110010011100…
…110101010100
3220212220200221
4302130311110
511341202200
61151244124
7220261504
oct62346524
926786627
1013225300
117513400
124519644
13298092a
141a83a04
15126391a
hexc9cd54

13225300 has 54 divisors (see below), whose sum is σ = 31573934. Its totient is φ = 4804800.

The previous prime is 13225291. The next prime is 13225301. The reversal of 13225300 is 352231.

13225300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 4008004 + 9217296 = 2002^2 + 3036^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13225301) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11554 + ... + 12646.

Almost surely, 213225300 is an apocalyptic number.

13225300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13225300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15786967).

13225300 is an abundant number, since it is smaller than the sum of its proper divisors (18348634).

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

13225300 is a wasteful number, since it uses less digits than its factorization.

13225300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1129 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 13225300 is about 3636.6605560596. The cubic root of 13225300 is about 236.4840443535.

Adding to 13225300 its reverse (352231), we get a palindrome (13577531).

The spelling of 13225300 in words is "thirteen million, two hundred twenty-five thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1093 1100 1210 2186 2420 3025 4372 5465 6050 10930 12023 12100 21860 24046 27325 48092 54650 60115 109300 120230 132253 240460 264506 300575 529012 601150 661265 1202300 1322530 2645060 3306325 6612650 13225300