225218230272 has 384 divisors, whose sum is σ = 764885721600. Its totient is φ = 64143360000.

The previous prime is 225218230267. The next prime is 225218230277. The reversal of 225218230272 is 272032812522.

225218230272 is a `hidden beast` number, since 2 + 2 + 521 + 82 + 30 + 27 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (225218230267) and next prime (225218230277).

It is a tau number, because it is divible by the number of its divisors (384).

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 (225218230277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155215147 + ... + 155216597.

It is an arithmetic number, because the mean of its divisors is an integer number (1991889900).

Almost surely, 2^225218230272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225218230272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382442860800).

225218230272 is an abundant number, since it is smaller than the sum of its proper divisors (539667491328).

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

225218230272 is a wasteful number, since it uses less digits than its factorization.

225218230272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1890 (or 1864 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 225218230272 in words is "two hundred twenty-five billion, two hundred eighteen million, two hundred thirty thousand, two hundred seventy-two".