Search a number
-
+
204222264 = 2338509261
BaseRepresentation
bin11000010110000…
…10111100111000
3112020021120021120
430023002330320
5404240103024
632133105240
75026601121
oct1413027470
9466246246
10204222264
11a5307234
1258488220
133340509c
141d1a1048
1512de0479
hexc2c2f38

204222264 has 16 divisors (see below), whose sum is σ = 510555720. Its totient is φ = 68074080.

The previous prime is 204222259. The next prime is 204222269. The reversal of 204222264 is 462222402.

204222264 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (204222259) and next prime (204222269).

It is a super-2 number, since 2×2042222642 = 83413466226571392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 8509261 = 204222264 / (2 + 0 + 4 + 2 + 2 + 2 + 2 + 6 + 4).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204222269) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 4254607 + ... + 4254654.

Almost surely, 2204222264 is an apocalyptic number.

204222264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

204222264 is an abundant number, since it is smaller than the sum of its proper divisors (306333456).

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

204222264 is a wasteful number, since it uses less digits than its factorization.

204222264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8509270 (or 8509266 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 204222264 is about 14290.6355352028. The cubic root of 204222264 is about 588.8902475556.

Adding to 204222264 its reverse (462222402), we get a palindrome (666444666).

The spelling of 204222264 in words is "two hundred four million, two hundred twenty-two thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 8509261 17018522 25527783 34037044 51055566 68074088 102111132 204222264