Search a number
-
+
221160 = 23351997
BaseRepresentation
bin110101111111101000
3102020101010
4311333220
524034120
64423520
71610532
oct657750
9366333
10221160
11141185
12a7ba0
1379884
145a852
15457e0
hex35fe8

221160 has 64 divisors (see below), whose sum is σ = 705600. Its totient is φ = 55296.

The previous prime is 221159. The next prime is 221171. The reversal of 221160 is 61122.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2232 + ... + 2328.

It is an arithmetic number, because the mean of its divisors is an integer number (11025).

2221160 is an apocalyptic number.

221160 is a gapful number since it is divisible by the number (20) 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 221160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352800).

221160 is an abundant number, since it is smaller than the sum of its proper divisors (484440).

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

221160 is a wasteful number, since it uses less digits than its factorization.

221160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 221160 is about 470.2765144040. The cubic root of 221160 is about 60.4740229529.

Adding to 221160 its reverse (61122), we get a palindrome (282282).

The spelling of 221160 in words is "two hundred twenty-one thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 97 114 120 152 190 194 228 285 291 380 388 456 485 570 582 760 776 970 1140 1164 1455 1843 1940 2280 2328 2910 3686 3880 5529 5820 7372 9215 11058 11640 14744 18430 22116 27645 36860 44232 55290 73720 110580 221160