225007055700 has 288 divisors, whose sum is σ = 751951872000. Its totient is φ = 50884485120.

The previous prime is 225007055699. The next prime is 225007055701. The reversal of 225007055700 is 7550700522.

It is an interprime number because it is at equal distance from previous prime (225007055699) and next prime (225007055701).

It is a super-2 number, since 2×225007055700² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225007055701) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 119747361 + ... + 119749239.

It is an arithmetic number, because the mean of its divisors is an integer number (2610944000).

Almost surely, 2^225007055700 is an apocalyptic number.

225007055700 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225007055700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375975936000).

225007055700 is an abundant number, since it is smaller than the sum of its proper divisors (526944816300).

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

225007055700 is a wasteful number, since it uses less digits than its factorization.

225007055700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2479 (or 2472 counting only the distinct ones).

The product of its (nonzero) digits is 24500, while the sum is 33.

The spelling of 225007055700 in words is "two hundred twenty-five billion, seven million, fifty-five thousand, seven hundred".