14220233100 has 432 divisors, whose sum is σ = 49792125600. Its totient is φ = 3469086720.

The previous prime is 14220233089. The next prime is 14220233113. The reversal of 14220233100 is 133202241.

14220233100 is a `hidden beast` number, since 1 + 422 + 0 + 233 + 10 + 0 = 666.

It is a super-2 number, since 2×14220233100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 159777856 + ... + 159777944.

It is an arithmetic number, because the mean of its divisors is an integer number (115259550).

Almost surely, 2^14220233100 is an apocalyptic number.

14220233100 is a gapful number since it is divisible by the number (10) 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 14220233100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24896062800).

14220233100 is an abundant number, since it is smaller than the sum of its proper divisors (35571892500).

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

14220233100 is a wasteful number, since it uses less digits than its factorization.

14220233100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 14220233100 its reverse (133202241), we get a palindrome (14353435341).

The spelling of 14220233100 in words is "fourteen billion, two hundred twenty million, two hundred thirty-three thousand, one hundred".