225751968 has 192 divisors, whose sum is σ = 719712000. Its totient is φ = 68428800.

The previous prime is 225751961. The next prime is 225751987. The reversal of 225751968 is 869157522.

225751968 is a `hidden beast` number, since 2 + 2 + 575 + 19 + 68 = 666.

225751968 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-3 number, since 3×225751968³ (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (225751961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1134333 + ... + 1134531.

It is an arithmetic number, because the mean of its divisors is an integer number (3748500).

Almost surely, 2^225751968 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 225751968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359856000).

225751968 is an abundant number, since it is smaller than the sum of its proper divisors (493960032).

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

225751968 is a wasteful number, since it uses less digits than its factorization.

225751968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 318 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The square root of 225751968 is about 15025.0446921132. The cubic root of 225751968 is about 608.8970196423.

The spelling of 225751968 in words is "two hundred twenty-five million, seven hundred fifty-one thousand, nine hundred sixty-eight".