114252210 has 48 divisors (see below), whose sum is σ = 300020760. Its totient is φ = 30163200.

The previous prime is 114252181. The next prime is 114252211. The reversal of 114252210 is 12252411.

114252210 is a `hidden beast` number, since 1 + 142 + 522 + 1 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 110691441 + 3560769 = 10521^2 + 1887^2 .

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (114252211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2806 + ... + 15374.

Almost surely, 2^114252210 is an apocalyptic number.

114252210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114252210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150010380).

114252210 is an abundant number, since it is smaller than the sum of its proper divisors (185768550).

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

114252210 is a wasteful number, since it uses less digits than its factorization.

114252210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12683 (or 12680 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 114252210 is about 10688.8825421557. The cubic root of 114252210 is about 485.2380735021.

The spelling of 114252210 in words is "one hundred fourteen million, two hundred fifty-two thousand, two hundred ten".