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222120 = 23325617
BaseRepresentation
bin110110001110101000
3102021200200
4312032220
524101440
64432200
71613403
oct661650
9367620
10222120
11141978
12a8660
137a142
145ad3a
1545c30
hex363a8

222120 has 48 divisors (see below), whose sum is σ = 723060. Its totient is φ = 59136.

The previous prime is 222113. The next prime is 222127. The reversal of 222120 is 21222.

222120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (222113) and next prime (222127).

It can be written as a sum of positive squares in 2 ways, for example, as 191844 + 30276 = 438^2 + 174^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 6 and base 12.

It is not an unprimeable number, because it can be changed into a prime (222127) by changing a digit.

222120 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, 52 + ... + 668.

2222120 is an apocalyptic number.

222120 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 222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361530).

222120 is an abundant number, since it is smaller than the sum of its proper divisors (500940).

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

222120 is a wasteful number, since it uses less digits than its factorization.

222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 222120 is about 471.2960852797. The cubic root of 222120 is about 60.5613974980.

Adding to 222120 its reverse (21222), we get a palindrome (243342).

It can be divided in two parts, 2 and 22120, that added together give a palindrome (22122).

The spelling of 222120 in words is "two hundred twenty-two thousand, one hundred twenty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 617 1234 1851 2468 3085 3702 4936 5553 6170 7404 9255 11106 12340 14808 18510 22212 24680 27765 37020 44424 55530 74040 111060 222120