195028224400 has 135 divisors (see below), whose sum is σ = 476780669569. Its totient is φ = 76665232000.

The previous prime is 195028224371. The next prime is 195028224431. The reversal of 195028224400 is 4422820591.

The square root of 195028224400 is 441620.

It is a perfect power (a square), and thus also a powerful number.

195028224400 is digitally balanced in base 3, 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 only one way, i.e., 70210160784 + 124818063616 = 264972^2 + 353296^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 195028224400.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 627100245 + ... + 627100555.

Almost surely, 2^195028224400 is an apocalyptic number.

195028224400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

195028224400 is the 441620-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 195028224400

195028224400 is an abundant number, since it is smaller than the sum of its proper divisors (281752445169).

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

195028224400 is an frugal number, since it uses more digits than its factorization.

195028224400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The spelling of 195028224400 in words is "one hundred ninety-five billion, twenty-eight million, two hundred twenty-four thousand, four hundred".