Search a number
-
+
230204205 = 32572119491
BaseRepresentation
bin11011011100010…
…10001100101101
3121001011120210200
431232022030231
5432413013310
634502024113
75463463200
oct1556121455
9531146720
10230204205
11108a42910
1265118039
133890120a
1422805937
15153239c0
hexdb8a32d

230204205 has 72 divisors (see below), whose sum is σ = 506417184. Its totient is φ = 95659200.

The previous prime is 230204197. The next prime is 230204213. The reversal of 230204205 is 502402032.

It is an interprime number because it is at equal distance from previous prime (230204197) and next prime (230204213).

It is not a de Polignac number, because 230204205 - 23 = 230204197 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19510 + ... + 29000.

It is an arithmetic number, because the mean of its divisors is an integer number (7033572).

Almost surely, 2230204205 is an apocalyptic number.

It is an amenable number.

230204205 is an abundant number, since it is smaller than the sum of its proper divisors (276212979).

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

230204205 is a wasteful number, since it uses less digits than its factorization.

230204205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9527 (or 9517 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 230204205 is about 15172.4818338992. The cubic root of 230204205 is about 612.8738398074.

Adding to 230204205 its reverse (502402032), we get a palindrome (732606237).

It can be divided in two parts, 23020 and 4205, that added together give a square (27225 = 1652).

The spelling of 230204205 in words is "two hundred thirty million, two hundred four thousand, two hundred five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 49 55 63 77 99 105 147 165 231 245 315 385 441 495 539 693 735 1155 1617 2205 2695 3465 4851 8085 9491 24255 28473 47455 66437 85419 104401 142365 199311 313203 332185 427095 465059 522005 597933 730807 939609 996555 1395177 1566015 2192421 2325295 2989665 3654035 4185531 4698045 5115649 6577263 6975885 10962105 15346947 20927655 25578245 32886315 46040841 76734735 230204205