225306517800 has 576 divisors, whose sum is σ = 881484206400. Its totient is φ = 47184076800.

The previous prime is 225306517781. The next prime is 225306517819. The reversal of 225306517800 is 8715603522.

It is an interprime number because it is at equal distance from previous prime (225306517781) and next prime (225306517819).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 53123680 + ... + 53127920.

It is an arithmetic number, because the mean of its divisors is an integer number (1530354525).

Almost surely, 2^225306517800 is an apocalyptic number.

225306517800 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 225306517800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440742103200).

225306517800 is an abundant number, since it is smaller than the sum of its proper divisors (656177688600).

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

225306517800 is a wasteful number, since it uses less digits than its factorization.

225306517800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4426 (or 4410 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The spelling of 225306517800 in words is "two hundred twenty-five billion, three hundred six million, five hundred seventeen thousand, eight hundred".