Search a number
-
+
221796 = 223261101
BaseRepresentation
bin110110001001100100
3102021020200
4312021210
524044141
64430500
71612431
oct661144
9367220
10221796
11141703
12a8430
1379c53
145ab88
1545ab6
hex36264

221796 has 36 divisors (see below), whose sum is σ = 575484. Its totient is φ = 72000.

The previous prime is 221773. The next prime is 221797. The reversal of 221796 is 697122.

It can be written as a sum of positive squares in 2 ways, for example, as 108900 + 112896 = 330^2 + 336^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a nialpdrome in base 12.

It is a zygodrome in base 8.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 221796.

It is not an unprimeable number, because it can be changed into a prime (221797) by changing a digit.

221796 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, 2146 + ... + 2246.

2221796 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 221796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287742).

221796 is an abundant number, since it is smaller than the sum of its proper divisors (353688).

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

221796 is a wasteful number, since it uses less digits than its factorization.

221796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 167 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 221796 is about 470.9522268766. The cubic root of 221796 is about 60.5319367844.

The spelling of 221796 in words is "two hundred twenty-one thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 61 101 122 183 202 244 303 366 404 549 606 732 909 1098 1212 1818 2196 3636 6161 12322 18483 24644 36966 55449 73932 110898 221796