195225600 has 288 divisors, whose sum is σ = 682456320. Its totient is φ = 49152000.

The previous prime is 195225599. The next prime is 195225617. The reversal of 195225600 is 6522591.

It is a happy number.

It is a super-2 number, since 2×195225600² = 76226069790720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 4761580 + ... + 4761620.

It is an arithmetic number, because the mean of its divisors is an integer number (2369640).

Almost surely, 2^195225600 is an apocalyptic number.

195225600 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 195225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341228160).

195225600 is an abundant number, since it is smaller than the sum of its proper divisors (487230720).

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

195225600 is a wasteful number, since it uses less digits than its factorization.

195225600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 195225600 is about 13972.3154845573. The cubic root of 195225600 is about 580.1125425684.

The spelling of 195225600 in words is "one hundred ninety-five million, two hundred twenty-five thousand, six hundred".