Search a number
-
+
22330 = 2571129
BaseRepresentation
bin101011100111010
31010122001
411130322
51203310
6251214
7122050
oct53472
933561
1022330
1115860
1210b0a
13a219
1481d0
15693a
hex573a

22330 has 32 divisors (see below), whose sum is σ = 51840. Its totient is φ = 6720.

The previous prime is 22307. The next prime is 22343. The reversal of 22330 is 3322.

Adding to 22330 its product of nonzero digits (36), we get a triangular number (22366 = T211).

Adding to 22330 its reverse (3322), we get a palindrome (25652).

It can be divided in two parts, 223 and 30, that added together give a triangular number (253 = T22).

22330 = T92 + T93 + ... + T96.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 756 + ... + 784.

It is an arithmetic number, because the mean of its divisors is an integer number (1620).

222330 is an apocalyptic number.

22330 is an abundant number, since it is smaller than the sum of its proper divisors (29510).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25920).

22330 is a wasteful number, since it uses less digits than its factorization.

22330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54.

The product of its (nonzero) digits is 36, while the sum is 10.

The square root of 22330 is about 149.4322589001. The cubic root of 22330 is about 28.1598005431.

The spelling of 22330 in words is "twenty-two thousand, three hundred thirty".

Divisors: 1 2 5 7 10 11 14 22 29 35 55 58 70 77 110 145 154 203 290 319 385 406 638 770 1015 1595 2030 2233 3190 4466 11165 22330