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222224 = 24171943
BaseRepresentation
bin110110010000010000
3102021211112
4312100100
524102344
64432452
71613612
oct662020
9367745
10222224
11141a62
12a8728
137a1c2
145adb2
1545c9e
hex36410

222224 has 40 divisors (see below), whose sum is σ = 491040. Its totient is φ = 96768.

The previous prime is 222199. The next prime is 222247. The reversal of 222224 is 422222.

Adding to 222224 its reverse (422222), we get a palindrome (644446).

It can be divided in two parts, 22222 and 4, that multiplied together give a palindrome (88888).

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

It is a d-powerful number, because it can be written as 210 + 213 + 214 + 216 + 217 + 42 .

It is a plaindrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 222199 and 222208.

It is an unprimeable number.

222224 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, 5147 + ... + 5189.

It is an arithmetic number, because the mean of its divisors is an integer number (12276).

2222224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245520).

222224 is an abundant number, since it is smaller than the sum of its proper divisors (268816).

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

222224 is a wasteful number, since it uses less digits than its factorization.

222224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 81 counting only the distinct ones).

The product of its digits is 128, while the sum is 14.

The square root of 222224 is about 471.4064064053. The cubic root of 222224 is about 60.5708479491.

The spelling of 222224 in words is "two hundred twenty-two thousand, two hundred twenty-four", and thus it is an iban number.

Divisors: 1 2 4 8 16 17 19 34 38 43 68 76 86 136 152 172 272 304 323 344 646 688 731 817 1292 1462 1634 2584 2924 3268 5168 5848 6536 11696 13072 13889 27778 55556 111112 222224