220647245000 has 540 divisors, whose sum is σ = 660242088495. Its totient is φ = 68874624000.

The previous prime is 220647244969. The next prime is 220647245003. The reversal of 220647245000 is 542746022.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 23 ways, for example, as 213663968644 + 6983276356 = 462238^2 + 83566^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=332150.

It is not an unprimeable number, because it can be changed into a prime (220647245003) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 3022564964 + ... + 3022565036.

Almost surely, 2^220647245000 is an apocalyptic number.

220647245000 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 220647245000

220647245000 is an abundant number, since it is smaller than the sum of its proper divisors (439594843495).

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

220647245000 is an equidigital number, since it uses as much as digits as its factorization.

220647245000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 32.

Multiplying 220647245000 by its sum of digits (32), we get a square (7060711840000 = 2657200²).

The spelling of 220647245000 in words is "two hundred twenty billion, six hundred forty-seven million, two hundred forty-five thousand".