Search a number
-
+
204362466 = 23711240213
BaseRepresentation
bin11000010111001…
…01001011100010
3112020112200121020
430023211023202
5404304044331
632140110310
75031023640
oct1413451342
9466480536
10204362466
11a53a2600
1258535396
1333453b49
141d1da190
1512e1bc96
hexc2e52e2

204362466 has 48 divisors (see below), whose sum is σ = 513452352. Its totient is φ = 53079840.

The previous prime is 204362419. The next prime is 204362471. The reversal of 204362466 is 664263402.

204362466 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15025 + ... + 25188.

It is an arithmetic number, because the mean of its divisors is an integer number (10696924).

Almost surely, 2204362466 is an apocalyptic number.

204362466 is an abundant number, since it is smaller than the sum of its proper divisors (309089886).

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

204362466 is a wasteful number, since it uses less digits than its factorization.

204362466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40247 (or 40236 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

The square root of 204362466 is about 14295.5400737433. The cubic root of 204362466 is about 589.0249777304.

The spelling of 204362466 in words is "two hundred four million, three hundred sixty-two thousand, four hundred sixty-six".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 121 154 231 242 363 462 726 847 1694 2541 5082 40213 80426 120639 241278 281491 442343 562982 844473 884686 1327029 1688946 2654058 3096401 4865773 6192802 9289203 9731546 14597319 18578406 29194638 34060411 68120822 102181233 204362466