10220032000 has 104 divisors (see below), whose sum is σ = 25507363752. Its totient is φ = 4087808000.

The previous prime is 10220031989. The next prime is 10220032003. The reversal of 10220032000 is 23002201.

It can be written as a sum of positive squares in 4 ways, for example, as 20647936 + 10199384064 = 4544^2 + 100992^2 .

It is a super-3 number, since 3×10220032000³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10220032003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 502020 + ... + 521980.

It is an arithmetic number, because the mean of its divisors is an integer number (245263113).

Almost surely, 2^10220032000 is an apocalyptic number.

10220032000 is a gapful number since it is divisible by the number (10) 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 10220032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12753681876).

10220032000 is an abundant number, since it is smaller than the sum of its proper divisors (15287331752).

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

10220032000 is an frugal number, since it uses more digits than its factorization.

10220032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20000 (or 19968 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 10220032000 its reverse (23002201), we get a palindrome (10243034201).

The spelling of 10220032000 in words is "ten billion, two hundred twenty million, thirty-two thousand".