2213100 has 54 divisors (see below), whose sum is σ = 6939660. Its totient is φ = 589920.

The previous prime is 2213093. The next prime is 2213137. The reversal of 2213100 is 13122.

It is a happy number.

It is a super-2 number, since 2×2213100² = 9795623220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 330 + ... + 2129.

2^2213100 is an apocalyptic number.

2213100 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 2213100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3469830).

2213100 is an abundant number, since it is smaller than the sum of its proper divisors (4726560).

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

2213100 is a wasteful number, since it uses less digits than its factorization.

2213100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2479 (or 2469 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 2213100 is about 1487.6491521861. The cubic root of 2213100 is about 130.3167816857.

Adding to 2213100 its reverse (13122), we get a palindrome (2226222).

It can be divided in two parts, 221 and 3100, that added together give a triangular number (3321 = T₈₁).

The spelling of 2213100 in words is "two million, two hundred thirteen thousand, one hundred".