22414032100 has 144 divisors (see below), whose sum is σ = 52496640000. Its totient is φ = 8279867520.

The previous prime is 22414032061. The next prime is 22414032139. The reversal of 22414032100 is 123041422.

It is an interprime number because it is at equal distance from previous prime (22414032061) and next prime (22414032139).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44560449 + ... + 44560951.

It is an arithmetic number, because the mean of its divisors is an integer number (364560000).

Almost surely, 2^22414032100 is an apocalyptic number.

22414032100 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 22414032100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26248320000).

22414032100 is an abundant number, since it is smaller than the sum of its proper divisors (30082607900).

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

22414032100 is a wasteful number, since it uses less digits than its factorization.

22414032100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 22414032100 its reverse (123041422), we get a palindrome (22537073522).

The spelling of 22414032100 in words is "twenty-two billion, four hundred fourteen million, thirty-two thousand, one hundred".