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221330322 = 23212296129
BaseRepresentation
bin11010011000100…
…11101110010010
3120102110202010100
431030103232102
5423130032242
633543513230
75325163623
oct1514235622
9512422110
10221330322
11103a31824
1262158816
1336b150b5
1421575a4a
151466e54c
hexd313b92

221330322 has 12 divisors (see below), whose sum is σ = 479549070. Its totient is φ = 73776768.

The previous prime is 221330309. The next prime is 221330339. The reversal of 221330322 is 223033122.

It is a happy number.

221330322 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 157025961 + 64304361 = 12531^2 + 8019^2 .

It is a super-2 number, since 2×2213303222 = 97974222873247368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 12296129 = 221330322 / (2 + 2 + 1 + 3 + 3 + 0 + 3 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 221330295 and 221330304.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6148047 + ... + 6148082.

Almost surely, 2221330322 is an apocalyptic number.

221330322 is an abundant number, since it is smaller than the sum of its proper divisors (258218748).

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

221330322 is a wasteful number, since it uses less digits than its factorization.

221330322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12296137 (or 12296134 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 221330322 is about 14877.1745301317. The cubic root of 221330322 is about 604.8954326028.

Adding to 221330322 its reverse (223033122), we get a palindrome (444363444).

The spelling of 221330322 in words is "two hundred twenty-one million, three hundred thirty thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 12296129 24592258 36888387 73776774 110665161 221330322