22001100 has 144 divisors (see below), whose sum is σ = 71245440. Its totient is φ = 5196800.

The previous prime is 22001071. The next prime is 22001101. The reversal of 22001100 is 110022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (22001101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 194644 + ... + 194756.

It is an arithmetic number, because the mean of its divisors is an integer number (494760).

Almost surely, 2^22001100 is an apocalyptic number.

22001100 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 22001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35622720).

22001100 is an abundant number, since it is smaller than the sum of its proper divisors (49244340).

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

22001100 is a wasteful number, since it uses less digits than its factorization.

22001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 22001100 is about 4690.5330187517. The cubic root of 22001100 is about 280.2086030533.

Adding to 22001100 its reverse (110022), we get a palindrome (22111122).

The spelling of 22001100 in words is "twenty-two million, one thousand, one hundred".