220224103040 has 64 divisors (see below), whose sum is σ = 526581158760. Its totient is φ = 88071585792.

The previous prime is 220224103019. The next prime is 220224103061. The reversal of 220224103040 is 40301422022.

220224103040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (220224103019) and next prime (220224103061).

It can be written as a sum of positive squares in 4 ways, for example, as 134665513024 + 85558590016 = 366968^2 + 292504^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3342092 + ... + 3407348.

Almost surely, 2^220224103040 is an apocalyptic number.

220224103040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220224103040 is an abundant number, since it is smaller than the sum of its proper divisors (306357055720).

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

220224103040 is an equidigital number, since it uses as much as digits as its factorization.

220224103040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70549 (or 70537 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 220224103040 its reverse (40301422022), we get a palindrome (260525525062).

The spelling of 220224103040 in words is "two hundred twenty billion, two hundred twenty-four million, one hundred three thousand, forty".