225274237440 has 160 divisors (see below), whose sum is σ = 823055713920. Its totient is φ = 51491241984.

The previous prime is 225274237387. The next prime is 225274237451. The reversal of 225274237440 is 44732472522.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 225274237392 and 225274237401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2041425 + ... + 2148944.

It is an arithmetic number, because the mean of its divisors is an integer number (5144098212).

Almost surely, 2^225274237440 is an apocalyptic number.

225274237440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225274237440 is an abundant number, since it is smaller than the sum of its proper divisors (597781476480).

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

225274237440 is an equidigital number, since it uses as much as digits as its factorization.

225274237440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4190402 (or 4190386 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 42.

The spelling of 225274237440 in words is "two hundred twenty-five billion, two hundred seventy-four million, two hundred thirty-seven thousand, four hundred forty".