19200225 has 72 divisors (see below), whose sum is σ = 37685088. Its totient is φ = 8524800.

The previous prime is 19200221. The next prime is 19200287. The reversal of 19200225 is 52200291.

It is not a de Polignac number, because 19200225 - 2² = 19200221 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19200221) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 518907 + ... + 518943.

It is an arithmetic number, because the mean of its divisors is an integer number (523404).

Almost surely, 2^19200225 is an apocalyptic number.

19200225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

19200225 is a deficient number, since it is larger than the sum of its proper divisors (18484863).

19200225 is a wasteful number, since it uses less digits than its factorization.

19200225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 19200225 is about 4381.8061344610. The cubic root of 19200225 is about 267.7742260178.

The spelling of 19200225 in words is "nineteen million, two hundred thousand, two hundred twenty-five".