Search a number
-
+
222368 = 256949
BaseRepresentation
bin110110010010100000
3102022000212
4312102200
524103433
64433252
71614206
oct662240
9368025
10222368
11142083
12a8828
137a2a3
145b076
1545d48
hex364a0

222368 has 12 divisors (see below), whose sum is σ = 437850. Its totient is φ = 111168.

The previous prime is 222367. The next prime is 222379. The reversal of 222368 is 863222.

It can be written as a sum of positive squares in only one way, i.e., 150544 + 71824 = 388^2 + 268^2 .

It is a super-3 number, since 3×2223683 = 32986643334660096, which contains 333 as substring.

It is a plaindrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (222361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3443 + ... + 3506.

2222368 is an apocalyptic number.

It is an amenable number.

222368 is a deficient number, since it is larger than the sum of its proper divisors (215482).

222368 is an equidigital number, since it uses as much as digits as its factorization.

222368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6959 (or 6951 counting only the distinct ones).

The product of its digits is 1152, while the sum is 23.

The square root of 222368 is about 471.5591161244. The cubic root of 222368 is about 60.5839283227.

The spelling of 222368 in words is "two hundred twenty-two thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 32 6949 13898 27796 55592 111184 222368