225191772 has 96 divisors (see below), whose sum is σ = 635040000. Its totient is φ = 68596416.

The previous prime is 225191767. The next prime is 225191773. The reversal of 225191772 is 277191522.

It is a super-2 number, since 2×225191772² = 101422668352999968, which contains 22 as substring.

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 (225191773) 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, 149479 + ... + 150977.

It is an arithmetic number, because the mean of its divisors is an integer number (6615000).

Almost surely, 2^225191772 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 225191772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317520000).

225191772 is an abundant number, since it is smaller than the sum of its proper divisors (409848228).

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

225191772 is a wasteful number, since it uses less digits than its factorization.

225191772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1632 (or 1624 counting only the distinct ones).

The product of its digits is 17640, while the sum is 36.

The square root of 225191772 is about 15006.3910384876. The cubic root of 225191772 is about 608.3929499006.

The spelling of 225191772 in words is "two hundred twenty-five million, one hundred ninety-one thousand, seven hundred seventy-two".