Search a number
-
+
220133322 = 233234212
BaseRepresentation
bin11010001111011…
…11011111001010
3120100012221011000
431013233133022
5422323231242
633502115430
75312050053
oct1507573712
9510187130
10220133322
11103294472
126187bb76
13367b6306
142134372a
15144d4a4c
hexd1ef7ca

220133322 has 48 divisors (see below), whose sum is σ = 511669440. Its totient is φ = 70020720.

The previous prime is 220133279. The next prime is 220133369. The reversal of 220133322 is 223331022.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 220133295 and 220133304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 522672 + ... + 523092.

It is an arithmetic number, because the mean of its divisors is an integer number (10659780).

Almost surely, 2220133322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220133322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255834720).

220133322 is an abundant number, since it is smaller than the sum of its proper divisors (291536118).

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

220133322 is an equidigital number, since it uses as much as digits as its factorization.

220133322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876 (or 449 counting only the distinct ones).

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

The square root of 220133322 is about 14836.8905772065. The cubic root of 220133322 is about 603.8029944609.

Adding to 220133322 its reverse (223331022), we get a palindrome (443464344).

The spelling of 220133322 in words is "two hundred twenty million, one hundred thirty-three thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 138 207 414 421 621 842 1242 1263 2526 3789 7578 9683 11367 19366 22734 29049 58098 87147 174294 177241 261441 354482 522882 531723 1063446 1595169 3190338 4076543 4785507 8153086 9571014 12229629 24459258 36688887 73377774 110066661 220133322