2242234100 has 36 divisors (see below), whose sum is σ = 4873024044. Its totient is φ = 895534080.

The previous prime is 2242234087. The next prime is 2242234109. The reversal of 2242234100 is 14322422.

2242234100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 232684516 + 2009549584 = 15254^2 + 44828^2 .

It is a super-2 number, since 2×2242234100² = 10055227518405620000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2242234109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50642 + ... + 83958.

It is an arithmetic number, because the mean of its divisors is an integer number (135361779).

Almost surely, 2^2242234100 is an apocalyptic number.

2242234100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2242234100 is an abundant number, since it is smaller than the sum of its proper divisors (2630789944).

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

2242234100 is a wasteful number, since it uses less digits than its factorization.

2242234100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34004 (or 33997 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2242234100 is about 47352.2343717802. The cubic root of 2242234100 is about 1308.8613729470.

Adding to 2242234100 its reverse (14322422), we get a palindrome (2256556522).

The spelling of 2242234100 in words is "two billion, two hundred forty-two million, two hundred thirty-four thousand, one hundred".