814833220 has 12 divisors (see below), whose sum is σ = 1711149804. Its totient is φ = 325933280.

The previous prime is 814833211. The next prime is 814833263. The reversal of 814833220 is 22338418.

It can be written as a sum of positive squares in 2 ways, for example, as 216737284 + 598095936 = 14722^2 + 24456^2 .

It is a super-3 number, since 3×814833220³ (a number of 28 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20370811 + ... + 20370850.

It is an arithmetic number, because the mean of its divisors is an integer number (142595817).

Almost surely, 2^814833220 is an apocalyptic number.

It is an amenable number.

814833220 is an abundant number, since it is smaller than the sum of its proper divisors (896316584).

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

814833220 is a wasteful number, since it uses less digits than its factorization.

814833220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40741670 (or 40741668 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 814833220 is about 28545.2836734897. The cubic root of 814833220 is about 934.0201427182.

The spelling of 814833220 in words is "eight hundred fourteen million, eight hundred thirty-three thousand, two hundred twenty".