13225800 has 192 divisors, whose sum is σ = 48568320. Its totient is φ = 2914560.

The previous prime is 13225787. The next prime is 13225819. The reversal of 13225800 is 852231.

13225800 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×13225800⁴ (a number of 30 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

13225800 is strictly pandigital in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 197367 + ... + 197433.

It is an arithmetic number, because the mean of its divisors is an integer number (252960).

Almost surely, 2^13225800 is an apocalyptic number.

13225800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13225800 is the 2100-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13225800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24284160).

13225800 is an abundant number, since it is smaller than the sum of its proper divisors (35342520).

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

13225800 is a wasteful number, since it uses less digits than its factorization.

13225800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 13225800 is about 3636.7292997967. The cubic root of 13225800 is about 236.4870245136.

The spelling of 13225800 in words is "thirteen million, two hundred twenty-five thousand, eight hundred".