10220350224 has 240 divisors, whose sum is σ = 32649749568. Its totient is φ = 2737373184.

The previous prime is 10220350213. The next prime is 10220350243. The reversal of 10220350224 is 42205302201.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 10220350224.

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 47 ways as a sum of consecutive naturals, for example, 17712624 + ... + 17713200.

Almost surely, 2^10220350224 is an apocalyptic number.

10220350224 is a gapful number since it is divisible by the number (14) 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 10220350224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16324874784).

10220350224 is an abundant number, since it is smaller than the sum of its proper divisors (22429399344).

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

10220350224 is a wasteful number, since it uses less digits than its factorization.

10220350224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

Adding to 10220350224 its reverse (42205302201), we get a palindrome (52425652425).

The spelling of 10220350224 in words is "ten billion, two hundred twenty million, three hundred fifty thousand, two hundred twenty-four".