225997248 has 112 divisors (see below), whose sum is σ = 645200640. Its totient is φ = 69580800.

The previous prime is 225997237. The next prime is 225997249. The reversal of 225997248 is 842799522.

It is a super-2 number, since 2×225997248² = 102149512207147008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 225997197 and 225997206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225997249) by changing a digit.

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, 148813 + ... + 150323.

It is an arithmetic number, because the mean of its divisors is an integer number (5760720).

Almost surely, 2^225997248 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 225997248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322600320).

225997248 is an abundant number, since it is smaller than the sum of its proper divisors (419203392).

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

225997248 is a wasteful number, since it uses less digits than its factorization.

225997248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1586 (or 1576 counting only the distinct ones).

The product of its digits is 725760, while the sum is 48.

The square root of 225997248 is about 15033.2048479358. The cubic root of 225997248 is about 609.1174624659.

The spelling of 225997248 in words is "two hundred twenty-five million, nine hundred ninety-seven thousand, two hundred forty-eight".