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221319 = 3371171
BaseRepresentation
bin110110000010000111
3102020121000
4312002013
524040234
64424343
71611150
oct660207
9366530
10221319
1114130a
12a80b3
1379977
145a927
1545899
hex36087

221319 has 16 divisors (see below), whose sum is σ = 375040. Its totient is φ = 126360.

The previous prime is 221317. The next prime is 221327. The reversal of 221319 is 913122.

It is a happy number.

It is not a de Polignac number, because 221319 - 21 = 221317 is a prime.

It is a super-2 number, since 2×2213192 = 97964199522, which contains 22 as substring.

It is a Duffinian number.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 397 + ... + 774.

It is an arithmetic number, because the mean of its divisors is an integer number (23440).

2221319 is an apocalyptic number.

221319 is a deficient number, since it is larger than the sum of its proper divisors (153721).

221319 is a wasteful number, since it uses less digits than its factorization.

221319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1187 (or 1181 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 221319 is about 470.4455335105. The cubic root of 221319 is about 60.4885118091.

It can be divided in two parts, 2 and 21319, that added together give a triangular number (21321 = T206).

The spelling of 221319 in words is "two hundred twenty-one thousand, three hundred nineteen".

Divisors: 1 3 7 9 21 27 63 189 1171 3513 8197 10539 24591 31617 73773 221319