220522310245200 has 480 divisors, whose sum is σ = 750844073260800. Its totient is φ = 55211106959360.

The previous prime is 220522310245121. The next prime is 220522310245381. The reversal of 220522310245200 is 2542013225022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 336199156 + ... + 336854444.

It is an arithmetic number, because the mean of its divisors is an integer number (1564258485960).

Almost surely, 2^{220522310245200} is an apocalyptic number.

220522310245200 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 220522310245200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375422036630400).

220522310245200 is an abundant number, since it is smaller than the sum of its proper divisors (530321763015600).

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

220522310245200 is a wasteful number, since it uses less digits than its factorization.

220522310245200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655559 (or 655548 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The spelling of 220522310245200 in words is "two hundred twenty trillion, five hundred twenty-two billion, three hundred ten million, two hundred forty-five thousand, two hundred".