114362220 has 96 divisors (see below), whose sum is σ = 367653888. Its totient is φ = 26019072.

The previous prime is 114362219. The next prime is 114362221. The reversal of 114362220 is 22263411.

It is an interprime number because it is at equal distance from previous prime (114362219) and next prime (114362221).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (114362221) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 115849 + ... + 116831.

It is an arithmetic number, because the mean of its divisors is an integer number (3829728).

Almost surely, 2^114362220 is an apocalyptic number.

114362220 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 114362220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183826944).

114362220 is an abundant number, since it is smaller than the sum of its proper divisors (253291668).

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

114362220 is a wasteful number, since it uses less digits than its factorization.

114362220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1279 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 114362220 is about 10694.0273049960. The cubic root of 114362220 is about 485.3937639015.

The spelling of 114362220 in words is "one hundred fourteen million, three hundred sixty-two thousand, two hundred twenty".