2233022023100 has 288 divisors, whose sum is σ = 5676836659200. Its totient is φ = 753809760000.

The previous prime is 2233022023087. The next prime is 2233022023117. The reversal of 2233022023100 is 13202203322.

2233022023100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2233022023100² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 408153365 + ... + 408158835.

It is an arithmetic number, because the mean of its divisors is an integer number (19711238400).

Almost surely, 2^{2233022023100} is an apocalyptic number.

2233022023100 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 2233022023100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2838418329600).

2233022023100 is an abundant number, since it is smaller than the sum of its proper divisors (3443814636100).

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

2233022023100 is a wasteful number, since it uses less digits than its factorization.

2233022023100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5905 (or 5898 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 2233022023100 its reverse (13202203322), we get a palindrome (2246224226422).

The spelling of 2233022023100 in words is "two trillion, two hundred thirty-three billion, twenty-two million, twenty-three thousand, one hundred".