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222336 = 2732193
BaseRepresentation
bin110110010010000000
3102021222200
4312102000
524103321
64433200
71614132
oct662200
9367880
10222336
11142054
12a8800
137a27a
145b052
1545d26
hex36480

222336 has 48 divisors (see below), whose sum is σ = 643110. Its totient is φ = 73728.

The previous prime is 222329. The next prime is 222337. The reversal of 222336 is 633222.

It can be written as a sum of positive squares in only one way, i.e., 207936 + 14400 = 456^2 + 120^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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.

It is a plaindrome in base 10.

It is a nialpdrome in base 6, base 8 and base 12.

It is a zygodrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222337) by changing a digit.

222336 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 5 ways as a sum of consecutive naturals, for example, 1056 + ... + 1248.

2222336 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 222336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321555).

222336 is an abundant number, since it is smaller than the sum of its proper divisors (420774).

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

222336 is a wasteful number, since it uses less digits than its factorization.

222336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 198 counting only the distinct ones).

The product of its digits is 432, while the sum is 18.

The square root of 222336 is about 471.5251849053. The cubic root of 222336 is about 60.5810220611.

Adding to 222336 its reverse (633222), we get a palindrome (855558).

The spelling of 222336 in words is "two hundred twenty-two thousand, three hundred thirty-six".