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22240 = 255139
BaseRepresentation
bin101011011100000
31010111201
411123200
51202430
6250544
7121561
oct53340
933451
1022240
1115789
1210a54
13a17a
148168
1568ca
hex56e0

22240 has 24 divisors (see below), whose sum is σ = 52920. Its totient is φ = 8832.

The previous prime is 22229. The next prime is 22247. The reversal of 22240 is 4222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a plaindrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22247) 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 3 ways as a sum of consecutive naturals, for example, 91 + ... + 229.

It is an arithmetic number, because the mean of its divisors is an integer number (2205).

222240 is an apocalyptic number.

22240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26460).

22240 is an abundant number, since it is smaller than the sum of its proper divisors (30680).

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

22240 is a wasteful number, since it uses less digits than its factorization.

22240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 22240 is about 149.1308150585. The cubic root of 22240 is about 28.1219173576.

Adding to 22240 its reverse (4222), we get a palindrome (26462).

It can be divided in two parts, 222 and 40, that added together give a palindrome (262).

The spelling of 22240 in words is "twenty-two thousand, two hundred forty", and thus it is an iban number.

Divisors: 1 2 4 5 8 10 16 20 32 40 80 139 160 278 556 695 1112 1390 2224 2780 4448 5560 11120 22240