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22194 = 234137
BaseRepresentation
bin101011010110010
31010110000
411122302
51202234
6250430
7121464
oct53262
933400
1022194
1115747
1210a16
13a143
148134
156899
hex56b2

22194 has 20 divisors (see below), whose sum is σ = 50094. Its totient is φ = 7344.

The previous prime is 22193. The next prime is 22229. The reversal of 22194 is 49122.

It can be written as a sum of positive squares in only one way, i.e., 18225 + 3969 = 135^2 + 63^2 .

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

It is a Curzon number.

It is a plaindrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 22194.

It is not an unprimeable number, because it can be changed into a prime (22193) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 94 + ... + 230.

222194 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22194, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25047).

22194 is an abundant number, since it is smaller than the sum of its proper divisors (27900).

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

22194 is a wasteful number, since it uses less digits than its factorization.

22194 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 142 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 22194 is about 148.9765082152. The cubic root of 22194 is about 28.1025153627.

It can be divided in two parts, 22 and 194, that added together give a cube (216 = 63).

The spelling of 22194 in words is "twenty-two thousand, one hundred ninety-four".

Divisors: 1 2 3 6 9 18 27 54 81 137 162 274 411 822 1233 2466 3699 7398 11097 22194