225724274010 has 96 divisors (see below), whose sum is σ = 612554462208. Its totient is φ = 57561504000.

The previous prime is 225724273997. The next prime is 225724274071. The reversal of 225724274010 is 10472427522.

225724274010 is a `hidden beast` number, since 2 + 2 + 5 + 7 + 242 + 7 + 401 + 0 = 666.

225724274010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×225724274010² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 9910135 + ... + 9932885.

It is an arithmetic number, because the mean of its divisors is an integer number (6380775648).

Almost surely, 2^225724274010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225724274010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306277231104).

225724274010 is an abundant number, since it is smaller than the sum of its proper divisors (386830188198).

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

225724274010 is a wasteful number, since it uses less digits than its factorization.

225724274010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27580 (or 27577 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 36.

The spelling of 225724274010 in words is "two hundred twenty-five billion, seven hundred twenty-four million, two hundred seventy-four thousand, ten".