225716340 has 48 divisors (see below), whose sum is σ = 633302208. Its totient is φ = 60067584.

The previous prime is 225716339. The next prime is 225716353. The reversal of 225716340 is 43617522.

It is a super-2 number, since 2×225716340² = 101895732285991200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 225716298 and 225716307.

It is a congruent number.

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, 27784 + ... + 34976.

It is an arithmetic number, because the mean of its divisors is an integer number (13193796).

Almost surely, 2^225716340 is an apocalyptic number.

225716340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225716340 is an abundant number, since it is smaller than the sum of its proper divisors (407585868).

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

225716340 is a wasteful number, since it uses less digits than its factorization.

225716340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7728 (or 7726 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 225716340 is about 15023.8590248977. The cubic root of 225716340 is about 608.8649860724.

The spelling of 225716340 in words is "two hundred twenty-five million, seven hundred sixteen thousand, three hundred forty".