2200332100 has 72 divisors (see below), whose sum is σ = 5151185928. Its totient is φ = 812697600.

The previous prime is 2200332089. The next prime is 2200332143. The reversal of 2200332100 is 12330022.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 828518656 + 1371813444 = 28784^2 + 37038^2 .

It is a super-2 number, since 2×2200332100² = 9682922700580820000, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 77890 + ... + 102310.

It is an arithmetic number, because the mean of its divisors is an integer number (71544249).

Almost surely, 2^2200332100 is an apocalyptic number.

2200332100 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 2200332100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2575592964).

2200332100 is an abundant number, since it is smaller than the sum of its proper divisors (2950853828).

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

2200332100 is a wasteful number, since it uses less digits than its factorization.

2200332100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24505 (or 24498 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 2200332100 is about 46907.6976625372. The cubic root of 2200332100 is about 1300.6568869556.

Adding to 2200332100 its reverse (12330022), we get a palindrome (2212662122).

The spelling of 2200332100 in words is "two billion, two hundred million, three hundred thirty-two thousand, one hundred".