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22914 = 2321967
BaseRepresentation
bin101100110000010
31011102200
411212002
51213124
6254030
7123543
oct54602
934380
1022914
1116241
1211316
13a578
1484ca
156bc9
hex5982

22914 has 24 divisors (see below), whose sum is σ = 53040. Its totient is φ = 7128.

The previous prime is 22907. The next prime is 22921. The reversal of 22914 is 41922.

It is an interprime number because it is at equal distance from previous prime (22907) and next prime (22921).

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

It is an unprimeable number.

22914 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 11 ways as a sum of consecutive naturals, for example, 309 + ... + 375.

It is an arithmetic number, because the mean of its divisors is an integer number (2210).

222914 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26520).

22914 is an abundant number, since it is smaller than the sum of its proper divisors (30126).

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

22914 is a wasteful number, since it uses less digits than its factorization.

22914 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 91 counting only the distinct ones).

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

The square root of 22914 is about 151.3737097385. The cubic root of 22914 is about 28.4031802297.

It can be divided in two parts, 229 and 14, that added together give a 5-th power (243 = 35).

The spelling of 22914 in words is "twenty-two thousand, nine hundred fourteen".

Divisors: 1 2 3 6 9 18 19 38 57 67 114 134 171 201 342 402 603 1206 1273 2546 3819 7638 11457 22914