2225952400 has 135 divisors (see below), whose sum is σ = 6239483739. Its totient is φ = 760919040.

The previous prime is 2225952359. The next prime is 2225952419. The reversal of 2225952400 is 42595222.

The square root of 2225952400 is 47180.

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

It can be written as a sum of positive squares in 4 ways, for example, as 308213136 + 1917739264 = 17556^2 + 43792^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6605032 + ... + 6605368.

Almost surely, 2^2225952400 is an apocalyptic number.

2225952400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2225952400 is the 47180-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2225952400

2225952400 is an abundant number, since it is smaller than the sum of its proper divisors (4013531339).

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

2225952400 is an equidigital number, since it uses as much as digits as its factorization.

2225952400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The cubic root of 2225952400 is about 1305.6856298414.

Multiplying 2225952400 by its product of nonzero digits (14400), we get a square (32053714560000 = 5661600²).

The spelling of 2225952400 in words is "two billion, two hundred twenty-five million, nine hundred fifty-two thousand, four hundred".