Search a number
22280 = 235557
BaseRepresentation
bin101011100001000
31010120012
411130020
51203110
6251052
7121646
oct53410
933505
1022280
1115815
1210a88
13a1ab
148196
156905
hex5708

22280 has 16 divisors (see below), whose sum is σ = 50220. Its totient is φ = 8896.

The previous prime is 22279. The next prime is 22283. The reversal of 22280 is 8222.

It can be written as a sum of positive squares in 2 ways, for example, as 20164 + 2116 = 142^2 + 46^2 .

It is not an unprimeable number, because it can be changed into a prime (22283) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 239 + ... + 318.

222280 is an apocalyptic number.

22280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22280 is an abundant number, since it is smaller than the sum of its proper divisors (27940).

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 (25110).

22280 is a wasteful number, since it uses less digits than its factorization.

22280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 22280 is about 149.2648652564. The cubic root of 22280 is about 28.1387669227.

It can be divided in two parts, 2 and 2280, that multiplied together give a triangular number (4560 = T95).

The spelling of 22280 in words is "twenty-two thousand, two hundred eighty".