225973384 has 192 divisors, whose sum is σ = 600566400. Its totient is φ = 77137920.

The previous prime is 225973373. The next prime is 225973387. The reversal of 225973384 is 483379522.

It is a super-2 number, since 2×225973384² = 102127940552822912, which contains 22 as substring.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 225973384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225973387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7289449 + ... + 7289479.

It is an arithmetic number, because the mean of its divisors is an integer number (3127950).

Almost surely, 2^225973384 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 225973384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300283200).

225973384 is an abundant number, since it is smaller than the sum of its proper divisors (374593016).

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

225973384 is a wasteful number, since it uses less digits than its factorization.

225973384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 89 counting only the distinct ones).

The product of its digits is 362880, while the sum is 43.

The square root of 225973384 is about 15032.4111173158. The cubic root of 225973384 is about 609.0960219529.

The spelling of 225973384 in words is "two hundred twenty-five million, nine hundred seventy-three thousand, three hundred eighty-four".