[go: up one dir, main page]

Search a number
-
+
22734 = 233421
BaseRepresentation
bin101100011001110
31011012000
411203032
51211414
6253130
7123165
oct54316
934160
1022734
1116098
12111a6
13a46a
1483dc
156b09
hex58ce

22734 has 16 divisors (see below), whose sum is σ = 50640. Its totient is φ = 7560.

The previous prime is 22727. The next prime is 22739. The reversal of 22734 is 43722.

It is a happy number.

22734 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (18) coincides with the sum of the digits of its prime factors.

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

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22739) by changing a digit.

22734 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 157 + ... + 264.

It is an arithmetic number, because the mean of its divisors is an integer number (3165).

22734 is an abundant number, since it is smaller than the sum of its proper divisors (27906).

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 (25320).

22734 is a wasteful number, since it uses less digits than its factorization.

22734 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 426 counting only the distinct ones).

The product of its digits is 336, while the sum is 18.

The square root of 22734 is about 150.7779824775. Note that the first 3 decimals coincide. The cubic root of 22734 is about 28.3286112853.

The spelling of 22734 in words is "twenty-two thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 421 842 1263 2526 3789 7578 11367 22734