114653220 has 192 divisors, whose sum is σ = 379330560. Its totient is φ = 25574400.

The previous prime is 114653213. The next prime is 114653237. The reversal of 114653220 is 22356411.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 514029 + ... + 514251.

It is an arithmetic number, because the mean of its divisors is an integer number (1975680).

Almost surely, 2^114653220 is an apocalyptic number.

114653220 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 114653220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189665280).

114653220 is an abundant number, since it is smaller than the sum of its proper divisors (264677340).

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

114653220 is a wasteful number, since it uses less digits than its factorization.

114653220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 114653220 is about 10707.6243863894. The cubic root of 114653220 is about 485.8051175489.

The spelling of 114653220 in words is "one hundred fourteen million, six hundred fifty-three thousand, two hundred twenty".