225149760 has 448 divisors, whose sum is σ = 912936960. Its totient is φ = 51701760.

The previous prime is 225149731. The next prime is 225149767. The reversal of 225149760 is 67941522.

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 (225149767) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2185869 + ... + 2185971.

Almost surely, 2^225149760 is an apocalyptic number.

225149760 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 225149760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456468480).

225149760 is an abundant number, since it is smaller than the sum of its proper divisors (687787200).

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

225149760 is a wasteful number, since it uses less digits than its factorization.

225149760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 225149760 is about 15004.9911696075. The cubic root of 225149760 is about 608.3551134172.

The spelling of 225149760 in words is "two hundred twenty-five million, one hundred forty-nine thousand, seven hundred sixty".