2213432100 has 432 divisors, whose sum is σ = 7955490816. Its totient is φ = 510048000.

The previous prime is 2213432099. The next prime is 2213432107. The reversal of 2213432100 is 12343122.

2213432100 is a `hidden beast` number, since 221 + 3 + 432 + 10 + 0 = 666.

It is a super-2 number, since 2×2213432100² = 9798563322620820000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2213432107) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 31175065 + ... + 31175135.

It is an arithmetic number, because the mean of its divisors is an integer number (18415488).

Almost surely, 2^2213432100 is an apocalyptic number.

2213432100 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 2213432100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3977745408).

2213432100 is an abundant number, since it is smaller than the sum of its proper divisors (5742058716).

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

2213432100 is a wasteful number, since it uses less digits than its factorization.

2213432100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2213432100 is about 47047.1263734566. The cubic root of 2213432100 is about 1303.2329984850.

Adding to 2213432100 its reverse (12343122), we get a palindrome (2225775222).

The spelling of 2213432100 in words is "two billion, two hundred thirteen million, four hundred thirty-two thousand, one hundred".