2210013200 has 60 divisors (see below), whose sum is σ = 5318316228. Its totient is φ = 882547200.

The previous prime is 2210013193. The next prime is 2210013227. The reversal of 2210013200 is 23100122.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 21270544 + 2188742656 = 4612^2 + 46784^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 256970 + ... + 265430.

Almost surely, 2^2210013200 is an apocalyptic number.

2210013200 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 2210013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2659158114).

2210013200 is an abundant number, since it is smaller than the sum of its proper divisors (3108303028).

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

2210013200 is a wasteful number, since it uses less digits than its factorization.

2210013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9132 (or 9121 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 2210013200 is about 47010.7774877208. Note that the first 3 decimals coincide. The cubic root of 2210013200 is about 1302.5616550476.

Adding to 2210013200 its reverse (23100122), we get a palindrome (2233113322).

The spelling of 2210013200 in words is "two billion, two hundred ten million, thirteen thousand, two hundred".