225195024 has 120 divisors (see below), whose sum is σ = 628084800. Its totient is φ = 69391872.

The previous prime is 225195023. The next prime is 225195041. The reversal of 225195024 is 420591522.

It is a junction number, because it is equal to n+sod(n) for n = 225194982 and 225195000.

It is not an unprimeable number, because it can be changed into a prime (225195023) 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 23 ways as a sum of consecutive naturals, for example, 1511302 + ... + 1511450.

It is an arithmetic number, because the mean of its divisors is an integer number (5234040).

Almost surely, 2^225195024 is an apocalyptic number.

225195024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225195024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314042400).

225195024 is an abundant number, since it is smaller than the sum of its proper divisors (402889776).

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

225195024 is a wasteful number, since it uses less digits than its factorization.

225195024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 225195024 is about 15006.4993919302. The cubic root of 225195024 is about 608.3958784924.

The spelling of 225195024 in words is "two hundred twenty-five million, one hundred ninety-five thousand, twenty-four".