814250220 has 96 divisors (see below), whose sum is σ = 2620240896. Its totient is φ = 185068800.

The previous prime is 814250219. The next prime is 814250221. The reversal of 814250220 is 22052418.

It is an interprime number because it is at equal distance from previous prime (814250219) and next prime (814250221).

It is not an unprimeable number, because it can be changed into a prime (814250221) 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, 70665 + ... + 81375.

It is an arithmetic number, because the mean of its divisors is an integer number (27294176).

Almost surely, 2^814250220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 814250220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1310120448).

814250220 is an abundant number, since it is smaller than the sum of its proper divisors (1805990676).

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

814250220 is a wasteful number, since it uses less digits than its factorization.

814250220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10911 (or 10909 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 814250220 is about 28535.0700016664. The cubic root of 814250220 is about 933.7973307979.

The spelling of 814250220 in words is "eight hundred fourteen million, two hundred fifty thousand, two hundred twenty".