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13225200 = 24352103107
BaseRepresentation
bin110010011100…
…110011110000
3220212220120020
4302130303300
511341201300
61151243440
7220261302
oct62346360
926786506
1013225200
11751331a
124519580
132980881
141a83972
1512638a0
hexc9ccf0

13225200 has 120 divisors (see below), whose sum is σ = 43175808. Its totient is φ = 3459840.

The previous prime is 13225193. The next prime is 13225213. The reversal of 13225200 is 252231.

Adding to 13225200 its reverse (252231), we get a palindrome (13477431).

13225200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13225200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123547 + ... + 123653.

Almost surely, 213225200 is an apocalyptic number.

13225200 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 13225200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21587904).

13225200 is an abundant number, since it is smaller than the sum of its proper divisors (29950608).

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

13225200 is a wasteful number, since it uses less digits than its factorization.

13225200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 13225200 is about 3636.6468071563. The cubic root of 13225200 is about 236.4834483125.

The spelling of 13225200 in words is "thirteen million, two hundred twenty-five thousand, two hundred".