2213132000 has 96 divisors (see below), whose sum is σ = 5453360640. Its totient is φ = 882700800.

The previous prime is 2213131931. The next prime is 2213132101. The reversal of 2213132000 is 2313122.

It is a happy number.

2213132000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2035457 + ... + 2036543.

It is an arithmetic number, because the mean of its divisors is an integer number (56805840).

Almost surely, 2^2213132000 is an apocalyptic number.

2213132000 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 2213132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2726680320).

2213132000 is an abundant number, since it is smaller than the sum of its proper divisors (3240228640).

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

2213132000 is a wasteful number, since it uses less digits than its factorization.

2213132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1621 (or 1603 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2213132000 is about 47043.9369100844. The cubic root of 2213132000 is about 1303.1740978152.

Adding to 2213132000 its reverse (2313122), we get a palindrome (2215445122).

The spelling of 2213132000 in words is "two billion, two hundred thirteen million, one hundred thirty-two thousand".