225380016 has 80 divisors (see below), whose sum is σ = 685000800. Its totient is φ = 70705152.

The previous prime is 225380011. The next prime is 225380039. The reversal of 225380016 is 610083522.

225380016 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 2×225380016² = 101592303224320512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (225380011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8001 + ... + 22688.

It is an arithmetic number, because the mean of its divisors is an integer number (8562510).

Almost surely, 2^225380016 is an apocalyptic number.

It is an amenable number.

225380016 is an abundant number, since it is smaller than the sum of its proper divisors (459620784).

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

225380016 is a wasteful number, since it uses less digits than its factorization.

225380016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30723 (or 30711 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 225380016 is about 15012.6618559135. The cubic root of 225380016 is about 608.5624268230.

The spelling of 225380016 in words is "two hundred twenty-five million, three hundred eighty thousand, sixteen".