Search a number
-
+
202221 = 3222469
BaseRepresentation
bin110001010111101101
3101021101200
4301113231
522432341
64200113
71501365
oct612755
9337350
10202221
11128a28
1299039
1371076
14539a5
153edb6
hex315ed

202221 has 6 divisors (see below), whose sum is σ = 292110. Its totient is φ = 134808.

The previous prime is 202219. The next prime is 202231. The reversal of 202221 is 122202.

It can be written as a sum of positive squares in only one way, i.e., 189225 + 12996 = 435^2 + 114^2 .

It is not a de Polignac number, because 202221 - 21 = 202219 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 22469 = 202221 / (2 + 0 + 2 + 2 + 2 + 1).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11226 + ... + 11243.

It is an arithmetic number, because the mean of its divisors is an integer number (48685).

2202221 is an apocalyptic number.

It is an amenable number.

202221 is a deficient number, since it is larger than the sum of its proper divisors (89889).

202221 is a wasteful number, since it uses less digits than its factorization.

202221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22475 (or 22472 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 202221 is about 449.6898931486. The cubic root of 202221 is about 58.6960331340.

Adding to 202221 its reverse (122202), we get a palindrome (324423).

The spelling of 202221 in words is "two hundred two thousand, two hundred twenty-one", and thus it is an iban number.

Divisors: 1 3 9 22469 67407 202221