114220900 has 72 divisors (see below), whose sum is σ = 257108544. Its totient is φ = 44016000.

The previous prime is 114220889. The next prime is 114220907. The reversal of 114220900 is 9022411.

It is not an unprimeable number, because it can be changed into a prime (114220907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 434169 + ... + 434431.

It is an arithmetic number, because the mean of its divisors is an integer number (3570952).

Almost surely, 2^114220900 is an apocalyptic number.

114220900 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 114220900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128554272).

114220900 is an abundant number, since it is smaller than the sum of its proper divisors (142887644).

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

114220900 is a wasteful number, since it uses less digits than its factorization.

114220900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 114220900 is about 10687.4178359415. The cubic root of 114220900 is about 485.1937441127.

The spelling of 114220900 in words is "one hundred fourteen million, two hundred twenty thousand, nine hundred".