2238100 has 18 divisors (see below), whose sum is σ = 4856894. Its totient is φ = 895200.

The previous prime is 2238091. The next prime is 2238109. The reversal of 2238100 is 18322.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2238091) and next prime (2238109).

It can be written as a sum of positive squares in 3 ways, for example, as 198916 + 2039184 = 446^2 + 1428^2 .

It is a super-2 number, since 2×2238100² = 10018183220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2238109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11091 + ... + 11290.

2^2238100 is an apocalyptic number.

2238100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2238100 is an abundant number, since it is smaller than the sum of its proper divisors (2618794).

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

2238100 is a wasteful number, since it uses less digits than its factorization.

2238100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22395 (or 22388 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2238100 is about 1496.0280746029. The cubic root of 2238100 is about 130.8056477406.

The spelling of 2238100 in words is "two million, two hundred thirty-eight thousand, one hundred".