199233225 has 27 divisors (see below), whose sum is σ = 357228469. Its totient is φ = 106144800.

The previous prime is 199233193. The next prime is 199233257. The reversal of 199233225 is 522332991.

The square root of 199233225 is 14115.

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

It is an interprime number because it is at equal distance from previous prime (199233193) and next prime (199233257).

It can be written as a sum of positive squares in 4 ways, for example, as 84681 + 199148544 = 291^2 + 14112^2 .

It is not a de Polignac number, because 199233225 - 2⁵ = 199233193 is a prime.

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 199233225.

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, 211255 + ... + 212195.

Almost surely, 2^199233225 is an apocalyptic number.

199233225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

199233225 is the 14115-th square number.

199233225 is the 7058-th centered octagonal number.

It is an amenable number.

199233225 is a deficient number, since it is larger than the sum of its proper divisors (157995244).

199233225 is an frugal number, since it uses more digits than its factorization.

199233225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1898 (or 949 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The cubic root of 199233225 is about 584.0552359480.

Multiplying 199233225 by its sum of digits (36), we get a square (7172396100 = 84690²).

The spelling of 199233225 in words is "one hundred ninety-nine million, two hundred thirty-three thousand, two hundred twenty-five".