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22814 = 2111761
BaseRepresentation
bin101100100011110
31011021222
411210132
51212224
6253342
7123341
oct54436
934258
1022814
1116160
1211252
13a4cc
148458
156b5e
hex591e

22814 has 16 divisors (see below), whose sum is σ = 40176. Its totient is φ = 9600.

The previous prime is 22811. The next prime is 22817. The reversal of 22814 is 41822.

It is an interprime number because it is at equal distance from previous prime (22811) and next prime (22817).

It is a Harshad number since it is a multiple of its sum of digits (17).

22814 is a modest number, since divided by 814 gives 22 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 22792 and 22801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22811) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 344 + ... + 404.

It is an arithmetic number, because the mean of its divisors is an integer number (2511).

222814 is an apocalyptic number.

22814 is a deficient number, since it is larger than the sum of its proper divisors (17362).

22814 is a wasteful number, since it uses less digits than its factorization.

22814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91.

The product of its digits is 128, while the sum is 17.

The square root of 22814 is about 151.0430402236. The cubic root of 22814 is about 28.3618014522.

It can be divided in two parts, 228 and 14, that added together give a palindrome (242).

The spelling of 22814 in words is "twenty-two thousand, eight hundred fourteen".

Divisors: 1 2 11 17 22 34 61 122 187 374 671 1037 1342 2074 11407 22814