225752262100 has 18 divisors (see below), whose sum is σ = 489882408974. Its totient is φ = 90300904800.

The previous prime is 225752262037. The next prime is 225752262103. The reversal of 225752262100 is 1262257522.

225752262100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 14074975044 + 211677287056 = 118638^2 + 460084^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225752262103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1128761211 + ... + 1128761410.

Almost surely, 2^225752262100 is an apocalyptic number.

225752262100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225752262100 is an abundant number, since it is smaller than the sum of its proper divisors (264130146874).

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

225752262100 is a wasteful number, since it uses less digits than its factorization.

225752262100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2257522635 (or 2257522628 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 34.

The spelling of 225752262100 in words is "two hundred twenty-five billion, seven hundred fifty-two million, two hundred sixty-two thousand, one hundred".