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205224228 = 22321134283
BaseRepresentation
bin11000011101101…
…11100100100100
3112022011110201100
430032313210210
5410014133403
632210400100
75041243236
oct1416674444
9468143640
10205224228
11a5931000
1258890030
1333696171
141d382256
151303c2a3
hexc3b7924

205224228 has 72 divisors (see below), whose sum is σ = 570731616. Its totient is φ = 62174640.

The previous prime is 205224203. The next prime is 205224233. The reversal of 205224228 is 822422502.

205224228 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45775 + ... + 50057.

It is an arithmetic number, because the mean of its divisors is an integer number (7926828).

Almost surely, 2205224228 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205224228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285365808).

205224228 is an abundant number, since it is smaller than the sum of its proper divisors (365507388).

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

205224228 is a wasteful number, since it uses less digits than its factorization.

205224228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4326 (or 4299 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 205224228 is about 14325.6493046563. The cubic root of 205224228 is about 589.8517563012.

The spelling of 205224228 in words is "two hundred five million, two hundred twenty-four thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1331 1452 2178 2662 3993 4283 4356 5324 7986 8566 11979 12849 15972 17132 23958 25698 38547 47113 47916 51396 77094 94226 141339 154188 188452 282678 424017 518243 565356 848034 1036486 1554729 1696068 2072972 3109458 4664187 5700673 6218916 9328374 11401346 17102019 18656748 22802692 34204038 51306057 68408076 102612114 205224228