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204204221 = 13217237113
BaseRepresentation
bin11000010101111…
…10100010111101
3112020020122112022
430022332202331
5404234013341
632132445525
75026464404
oct1412764275
9466218468
10204204221
11a52a4721
12584798a5
13333c9b00
141d19863b
1512dd9e4b
hexc2be8bd

204204221 has 36 divisors (see below), whose sum is σ = 243376092. Its totient is φ = 171085824.

The previous prime is 204204211. The next prime is 204204227. The reversal of 204204221 is 122402402.

It is a happy number.

It can be written as a sum of positive squares in 18 ways, for example, as 140683321 + 63520900 = 11861^2 + 7970^2 .

It is not a de Polignac number, because 204204221 - 26 = 204204157 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 204204221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204204227) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1807061 + ... + 1807173.

It is an arithmetic number, because the mean of its divisors is an integer number (6760447).

Almost surely, 2204204221 is an apocalyptic number.

It is an amenable number.

204204221 is a deficient number, since it is larger than the sum of its proper divisors (39171871).

204204221 is a wasteful number, since it uses less digits than its factorization.

204204221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 204204221 is about 14290.0042337293. The cubic root of 204204221 is about 588.8729042627.

Adding to 204204221 its reverse (122402402), we get a palindrome (326606623).

The spelling of 204204221 in words is "two hundred four million, two hundred four thousand, two hundred twenty-one".

Divisors: 1 13 17 37 113 169 221 289 481 629 1469 1921 2873 3757 4181 6253 8177 10693 19097 24973 32657 48841 54353 71077 106301 139009 324649 424541 706589 924001 1208309 1807117 5519033 12012013 15708017 204204221