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232221 = 31131227
BaseRepresentation
bin111000101100011101
3102210112210
4320230131
524412341
64551033
71655013
oct705435
9383483
10232221
11149520
12b2479
1381912
14608b3
1548c16
hex38b1d

232221 has 16 divisors (see below), whose sum is σ = 350208. Its totient is φ = 135600.

The previous prime is 232217. The next prime is 232259. The reversal of 232221 is 122232.

Adding to 232221 its reverse (122232), we get a palindrome (354453).

It can be divided in two parts, 2 and 32221, that added together give a palindrome (32223).

232221 is a nontrivial binomial coefficient, being equal to C(682, 2).

It is not a de Polignac number, because 232221 - 22 = 232217 is a prime.

It is an Ulam number.

232221 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 232197 and 232206.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 232221.

It is not an unprimeable number, because it can be changed into a prime (232621) 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, 910 + ... + 1136.

It is an arithmetic number, because the mean of its divisors is an integer number (21888).

2232221 is an apocalyptic number.

232221 is the 681-st triangular number and also the 341-st hexagonal number.

It is an amenable number.

232221 is a deficient number, since it is larger than the sum of its proper divisors (117987).

232221 is a wasteful number, since it uses less digits than its factorization.

232221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272.

The product of its digits is 48, while the sum is 12.

The square root of 232221 is about 481.8931416818. The cubic root of 232221 is about 61.4658412992.

The spelling of 232221 in words is "two hundred thirty-two thousand, two hundred twenty-one".

Divisors: 1 3 11 31 33 93 227 341 681 1023 2497 7037 7491 21111 77407 232221