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222144 = 2631389
BaseRepresentation
bin110110001111000000
3102021201120
4312033000
524102034
64432240
71613436
oct661700
9367646
10222144
1114199a
12a8680
137a160
145ad56
1545c49
hex363c0

222144 has 56 divisors (see below), whose sum is σ = 640080. Its totient is φ = 67584.

The previous prime is 222137. The next prime is 222149. The reversal of 222144 is 441222.

222144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222149) by changing a digit.

222144 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 7 ways as a sum of consecutive naturals, for example, 2452 + ... + 2540.

It is an arithmetic number, because the mean of its divisors is an integer number (11430).

2222144 is an apocalyptic number.

222144 is a gapful number since it is divisible by the number (24) 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 222144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320040).

222144 is an abundant number, since it is smaller than the sum of its proper divisors (417936).

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

222144 is a wasteful number, since it uses less digits than its factorization.

222144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 107 counting only the distinct ones).

The product of its digits is 128, while the sum is 15.

The square root of 222144 is about 471.3215462930. The cubic root of 222144 is about 60.5635786332.

Adding to 222144 its reverse (441222), we get a palindrome (663366).

The spelling of 222144 in words is "two hundred twenty-two thousand, one hundred forty-four", and thus it is an iban number.

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 89 96 104 156 178 192 208 267 312 356 416 534 624 712 832 1068 1157 1248 1424 2136 2314 2496 2848 3471 4272 4628 5696 6942 8544 9256 13884 17088 18512 27768 37024 55536 74048 111072 222144