225150000 has 240 divisors, whose sum is σ = 774950400. Its totient is φ = 56160000.

The previous prime is 225149999. The next prime is 225150011. The reversal of 225150000 is 51522.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2849961 + ... + 2850039.

It is an arithmetic number, because the mean of its divisors is an integer number (3228960).

Almost surely, 2^225150000 is an apocalyptic number.

225150000 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 225150000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387475200).

225150000 is an abundant number, since it is smaller than the sum of its proper divisors (549800400).

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

225150000 is an equidigital number, since it uses as much as digits as its factorization.

225150000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 225150000 is about 15004.9991669443. Note that the first 3 decimals coincide. The cubic root of 225150000 is about 608.3553295772.

The spelling of 225150000 in words is "two hundred twenty-five million, one hundred fifty thousand".