225197040 has 80 divisors (see below), whose sum is σ = 699839136. Its totient is φ = 59904000.

The previous prime is 225197029. The next prime is 225197047. The reversal of 225197040 is 40791522.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×225197040³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 225196989 and 225197007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225197047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124140 + ... + 125940.

Almost surely, 2^225197040 is an apocalyptic number.

225197040 is a gapful number since it is divisible by the number (20) 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 225197040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349919568).

225197040 is an abundant number, since it is smaller than the sum of its proper divisors (474642096).

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

225197040 is a wasteful number, since it uses less digits than its factorization.

225197040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2338 (or 2332 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 225197040 is about 15006.5665626752. The cubic root of 225197040 is about 608.3976939891.

The spelling of 225197040 in words is "two hundred twenty-five million, one hundred ninety-seven thousand, forty".