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22092 = 2237263
BaseRepresentation
bin101011001001100
31010022020
411121030
51201332
6250140
7121260
oct53114
933266
1022092
1115664
1210950
13a095
1480a0
15682c
hex564c

22092 has 24 divisors (see below), whose sum is σ = 59136. Its totient is φ = 6288.

The previous prime is 22091. The next prime is 22093. The reversal of 22092 is 29022.

22092 = 492 + 502 + ... + 562.

It is an interprime number because it is at equal distance from previous prime (22091) and next prime (22093).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 22092.

It is not an unprimeable number, because it can be changed into a prime (22091) 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 7 ways as a sum of consecutive naturals, for example, 48 + ... + 215.

It is an arithmetic number, because the mean of its divisors is an integer number (2464).

222092 is an apocalyptic number.

It is an amenable number.

22092 is an abundant number, since it is smaller than the sum of its proper divisors (37044).

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 (29568).

22092 is a wasteful number, since it uses less digits than its factorization.

22092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 22092 is about 148.6337781260. The cubic root of 22092 is about 28.0593977173.

It can be divided in two parts, 2209 and 2, that added together give a triangular number (2211 = T66).

The spelling of 22092 in words is "twenty-two thousand, ninety-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 263 526 789 1052 1578 1841 3156 3682 5523 7364 11046 22092