225762201 has 32 divisors (see below), whose sum is σ = 383846400. Its totient is φ = 128466000.

The previous prime is 225762149. The next prime is 225762203. The reversal of 225762201 is 102267522.

It is not a de Polignac number, because 225762201 - 2⁷ = 225762073 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (225762203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45060 + ... + 49818.

It is an arithmetic number, because the mean of its divisors is an integer number (11995200).

Almost surely, 2^225762201 is an apocalyptic number.

225762201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

225762201 is a deficient number, since it is larger than the sum of its proper divisors (158084199).

225762201 is a wasteful number, since it uses less digits than its factorization.

225762201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5026 (or 5020 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 225762201 is about 15025.3852196874. The cubic root of 225762201 is about 608.9062196345.

The spelling of 225762201 in words is "two hundred twenty-five million, seven hundred sixty-two thousand, two hundred one".