10225200 has 60 divisors (see below), whose sum is σ = 32758568. Its totient is φ = 2726400.

The previous prime is 10225199. The next prime is 10225223. The reversal of 10225200 is 252201.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3061 + ... + 5460.

Almost surely, 2^10225200 is an apocalyptic number.

10225200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10225200 is an abundant number, since it is smaller than the sum of its proper divisors (22533368).

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

10225200 is a wasteful number, since it uses less digits than its factorization.

10225200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8542 (or 8531 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 10225200 is about 3197.6866638243. The cubic root of 10225200 is about 217.0487407061.

Adding to 10225200 its reverse (252201), we get a palindrome (10477401).

The spelling of 10225200 in words is "ten million, two hundred twenty-five thousand, two hundred".