225285345000 has 240 divisors, whose sum is σ = 795593953440. Its totient is φ = 57463824000.

The previous prime is 225285344981. The next prime is 225285345001. The reversal of 225285345000 is 543582522.

It is a happy number.

225285345000 is a `hidden beast` number, since 22 + 52 + 8 + 534 + 50 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (225285345001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 926167 + ... + 1143833.

It is an arithmetic number, because the mean of its divisors is an integer number (3314974806).

Almost surely, 2^225285345000 is an apocalyptic number.

225285345000 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 225285345000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397796976720).

225285345000 is an abundant number, since it is smaller than the sum of its proper divisors (570308608440).

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

225285345000 is a wasteful number, since it uses less digits than its factorization.

225285345000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217722 (or 217700 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 225285345000 in words is "two hundred twenty-five billion, two hundred eighty-five million, three hundred forty-five thousand".