10233002220 has 288 divisors, whose sum is σ = 35637428736. Its totient is φ = 2182118400.

The previous prime is 10233002209. The next prime is 10233002233. The reversal of 10233002220 is 2220033201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10233002220.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2770575 + ... + 2774265.

It is an arithmetic number, because the mean of its divisors is an integer number (123741072).

Almost surely, 2^10233002220 is an apocalyptic number.

10233002220 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 10233002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17818714368).

10233002220 is an abundant number, since it is smaller than the sum of its proper divisors (25404426516).

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

10233002220 is a wasteful number, since it uses less digits than its factorization.

10233002220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3781 (or 3772 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 10233002220 its reverse (2220033201), we get a palindrome (12453035421).

The spelling of 10233002220 in words is "ten billion, two hundred thirty-three million, two thousand, two hundred twenty".