225001968 has 80 divisors (see below), whose sum is σ = 607104000. Its totient is φ = 71723520.

The previous prime is 225001957. The next prime is 225001991. The reversal of 225001968 is 869100522.

It is a super-3 number, since 3×225001968³ (a number of 26 digits) contains 333 as substring.

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, 131583 + ... + 133281.

It is an arithmetic number, because the mean of its divisors is an integer number (7588800).

Almost surely, 2^225001968 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 225001968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303552000).

225001968 is an abundant number, since it is smaller than the sum of its proper divisors (382102032).

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

225001968 is a wasteful number, since it uses less digits than its factorization.

225001968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1830 (or 1824 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 225001968 is about 15000.0655998566. The cubic root of 225001968 is about 608.2219728520.

The spelling of 225001968 in words is "two hundred twenty-five million, one thousand, nine hundred sixty-eight".