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22120 = 235779
BaseRepresentation
bin101011001101000
31010100021
411121220
51201440
6250224
7121330
oct53150
933307
1022120
111568a
1210974
13a0b7
1480c0
15684a
hex5668

22120 has 32 divisors (see below), whose sum is σ = 57600. Its totient is φ = 7488.

The previous prime is 22111. The next prime is 22123. The reversal of 22120 is 2122.

22120 = T35 + T36 + ... + T55.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a plaindrome in base 11 and base 16.

It is not an unprimeable number, because it can be changed into a prime (22123) 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, 241 + ... + 319.

It is an arithmetic number, because the mean of its divisors is an integer number (1800).

222120 is an apocalyptic number.

22120 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 22120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28800).

22120 is an abundant number, since it is smaller than the sum of its proper divisors (35480).

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

22120 is a wasteful number, since it uses less digits than its factorization.

22120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 22120 is about 148.7279395406. The cubic root of 22120 is about 28.0712471265.

Adding to 22120 its reverse (2122), we get a palindrome (24242).

The spelling of 22120 in words is "twenty-two thousand, one hundred twenty", and thus it is an iban number.

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 79 140 158 280 316 395 553 632 790 1106 1580 2212 2765 3160 4424 5530 11060 22120