114184224 has 288 divisors, whose sum is σ = 427714560. Its totient is φ = 27993600.

The previous prime is 114184219. The next prime is 114184247. The reversal of 114184224 is 422481411.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 421209 + ... + 421479.

It is an arithmetic number, because the mean of its divisors is an integer number (1485120).

Almost surely, 2^114184224 is an apocalyptic number.

114184224 is a gapful number since it is divisible by the number (14) 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 114184224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213857280).

114184224 is an abundant number, since it is smaller than the sum of its proper divisors (313530336).

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

114184224 is a wasteful number, since it uses less digits than its factorization.

114184224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 313 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 114184224 is about 10685.7018487323. The cubic root of 114184224 is about 485.1418071183.

The spelling of 114184224 in words is "one hundred fourteen million, one hundred eighty-four thousand, two hundred twenty-four".