225162100 has 36 divisors (see below), whose sum is σ = 489554604. Its totient is φ = 89889280.

The previous prime is 225162071. The next prime is 225162107. The reversal of 225162100 is 1261522.

It can be written as a sum of positive squares in 6 ways, for example, as 37307664 + 187854436 = 6108^2 + 13706^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225162107) 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 11 ways as a sum of consecutive naturals, for example, 57402 + ... + 61198.

It is an arithmetic number, because the mean of its divisors is an integer number (13598739).

Almost surely, 2^225162100 is an apocalyptic number.

225162100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225162100 is an abundant number, since it is smaller than the sum of its proper divisors (264392504).

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

225162100 is a wasteful number, since it uses less digits than its factorization.

225162100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4404 (or 4397 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 225162100 is about 15005.4023604834. The cubic root of 225162100 is about 608.3662274492.

The spelling of 225162100 in words is "two hundred twenty-five million, one hundred sixty-two thousand, one hundred".