2262100 has 18 divisors (see below), whose sum is σ = 4908974. Its totient is φ = 904800.

The previous prime is 2262067. The next prime is 2262103. The reversal of 2262100 is 12622.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 659344 + 1602756 = 812^2 + 1266^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2262103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11211 + ... + 11410.

2^2262100 is an apocalyptic number.

2262100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2262100 is an abundant number, since it is smaller than the sum of its proper divisors (2646874).

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

2262100 is a wasteful number, since it uses less digits than its factorization.

2262100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22635 (or 22628 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 2262100 is about 1504.0279252727. The cubic root of 2262100 is about 131.2715459715.

Adding to 2262100 its reverse (12622), we get a palindrome (2274722).

The spelling of 2262100 in words is "two million, two hundred sixty-two thousand, one hundred".