814350222 has 96 divisors (see below), whose sum is σ = 2191288320. Its totient is φ = 213295680.

The previous prime is 814350193. The next prime is 814350223. The reversal of 814350222 is 222053418.

814350222 is a `hidden beast` number, since 8 + 1 + 435 + 0 + 222 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (814350223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68728 + ... + 79700.

It is an arithmetic number, because the mean of its divisors is an integer number (22825920).

Almost surely, 2^814350222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 814350222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1095644160).

814350222 is an abundant number, since it is smaller than the sum of its proper divisors (1376938098).

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

814350222 is a wasteful number, since it uses less digits than its factorization.

814350222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11038 (or 11035 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 814350222 is about 28536.8222127132. The cubic root of 814350222 is about 933.8355572856.

The spelling of 814350222 in words is "eight hundred fourteen million, three hundred fifty thousand, two hundred twenty-two".