114413220 has 144 divisors (see below), whose sum is σ = 360884160. Its totient is φ = 29323008.

The previous prime is 114413197. The next prime is 114413249. The reversal of 114413220 is 22314411.

114413220 is a `hidden beast` number, since 1 + 1 + 441 + 3 + 220 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 114413193 and 114413202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 639091 + ... + 639269.

It is an arithmetic number, because the mean of its divisors is an integer number (2506140).

Almost surely, 2^114413220 is an apocalyptic number.

114413220 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 114413220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180442080).

114413220 is an abundant number, since it is smaller than the sum of its proper divisors (246470940).

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

114413220 is a wasteful number, since it uses less digits than its factorization.

114413220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 114413220 is about 10696.4115478042. The cubic root of 114413220 is about 485.4659071991.

Adding to 114413220 its reverse (22314411), we get a palindrome (136727631).

The spelling of 114413220 in words is "one hundred fourteen million, four hundred thirteen thousand, two hundred twenty".