Search a number
-
+
204221310 = 235192109173
BaseRepresentation
bin11000010110000…
…10101101111110
3112020021111222020
430023002231332
5404240040220
632133101010
75026565256
oct1413025576
9466244866
10204221310
11a5306547
1258487766
1333404817
141d1a0966
1512de0040
hexc2c2b7e

204221310 has 96 divisors (see below), whose sum is σ = 525048480. Its totient is φ = 50823936.

The previous prime is 204221299. The next prime is 204221321. The reversal of 204221310 is 13122402.

It is an interprime number because it is at equal distance from previous prime (204221299) and next prime (204221321).

It is a super-2 number, since 2×2042213102 = 83412686916232200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 204221310.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1180384 + ... + 1180556.

It is an arithmetic number, because the mean of its divisors is an integer number (5469255).

Almost surely, 2204221310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204221310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262524240).

204221310 is an abundant number, since it is smaller than the sum of its proper divisors (320827170).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

204221310 is a wasteful number, since it uses less digits than its factorization.

204221310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 204221310 is about 14290.6021566623. The cubic root of 204221310 is about 588.8893305773.

Adding to 204221310 its reverse (13122402), we get a palindrome (217343712).

The spelling of 204221310 in words is "two hundred four million, two hundred twenty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 109 114 173 190 218 285 327 346 361 519 545 570 654 722 865 1038 1083 1090 1635 1730 1805 2071 2166 2595 3270 3287 3610 4142 5190 5415 6213 6574 9861 10355 10830 12426 16435 18857 19722 20710 31065 32870 37714 39349 49305 56571 62130 62453 78698 94285 98610 113142 118047 124906 187359 188570 196745 236094 282855 312265 358283 374718 393490 565710 590235 624530 716566 936795 1074849 1180470 1791415 1873590 2149698 3582830 5374245 6807377 10748490 13614754 20422131 34036885 40844262 68073770 102110655 204221310