225073368 has 192 divisors, whose sum is σ = 691323360. Its totient is φ = 65691648.

The previous prime is 225073367. The next prime is 225073369. The reversal of 225073368 is 863370522.

225073368 is a `hidden beast` number, since 225 + 0 + 73 + 368 = 666.

225073368 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (225073367) and next prime (225073369).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225073367) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2320296 + ... + 2320392.

Almost surely, 2^225073368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225073368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345661680).

225073368 is an abundant number, since it is smaller than the sum of its proper divisors (466249992).

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

225073368 is a wasteful number, since it uses less digits than its factorization.

225073368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 225073368 is about 15002.4454006672. The cubic root of 225073368 is about 608.2863018539.

The spelling of 225073368 in words is "two hundred twenty-five million, seventy-three thousand, three hundred sixty-eight".