Cookie Consent by FreePrivacyPolicy.com
Search a number
-
+
222264 = 233473
BaseRepresentation
bin110110010000111000
3102021220000
4312100320
524103024
64433000
71614000
oct662070
9367800
10222264
11141a99
12a8760
137a223
145b000
1545cc9
hex36438

222264 has 80 divisors (see below), whose sum is σ = 726000. Its totient is φ = 63504.

The previous prime is 222247. The next prime is 222269. The reversal of 222264 is 462222.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an ABA number since it can be written as A⋅BA, here for A=3, B=42.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

Its product of digits (384) is a multiple of the sum of its prime divisors (12).

It is a nialpdrome in base 6 and base 12.

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222269) by changing a digit.

222264 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 19 ways as a sum of consecutive naturals, for example, 31749 + ... + 31755.

It is an arithmetic number, because the mean of its divisors is an integer number (9075).

2222264 is an apocalyptic number.

222264 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 222264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363000).

222264 is an abundant number, since it is smaller than the sum of its proper divisors (503736).

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

222264 is an equidigital number, since it uses as much as digits as its factorization.

222264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39 (or 12 counting only the distinct ones).

The product of its digits is 384, while the sum is 18.

The square root of 222264 is about 471.4488307335. The cubic root of 222264 is about 60.5744819529.

Adding to 222264 its reverse (462222), we get a palindrome (684486).

The spelling of 222264 in words is "two hundred twenty-two thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 81 84 98 108 126 147 162 168 189 196 216 252 294 324 343 378 392 441 504 567 588 648 686 756 882 1029 1134 1176 1323 1372 1512 1764 2058 2268 2646 2744 3087 3528 3969 4116 4536 5292 6174 7938 8232 9261 10584 12348 15876 18522 24696 27783 31752 37044 55566 74088 111132 222264