Search a number
-
+
22284 = 2232619
BaseRepresentation
bin101011100001100
31010120100
411130030
51203114
6251100
7121653
oct53414
933510
1022284
1115819
1210a90
13a1b2
14819a
156909
hex570c

22284 has 18 divisors (see below), whose sum is σ = 56420. Its totient is φ = 7416.

The previous prime is 22283. The next prime is 22291. The reversal of 22284 is 48222.

It is a tau number, because it is divible by the number of its divisors (18).

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

It is not an unprimeable number, because it can be changed into a prime (22283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 274 + ... + 345.

222284 is an apocalyptic number.

It is an amenable number.

22284 is an abundant number, since it is smaller than the sum of its proper divisors (34136).

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

22284 is a wasteful number, since it uses less digits than its factorization.

22284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 624 counting only the distinct ones).

The product of its digits is 256, while the sum is 18.

The square root of 22284 is about 149.2782636555. The cubic root of 22284 is about 28.1404507697.

The spelling of 22284 in words is "twenty-two thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 619 1238 1857 2476 3714 5571 7428 11142 22284