Search a number
-
+
222404064 = 25317136277
BaseRepresentation
bin11010100000110…
…01110111100000
3120111111022000120
431100121313200
5423413412224
634022520240
75340255231
oct1520316740
9514438016
10222404064
111045a5513
1262596080
13370cca4c
1421775088
15147d2779
hexd419de0

222404064 has 48 divisors (see below), whose sum is σ = 618157008. Its totient is φ = 69773312.

The previous prime is 222404053. The next prime is 222404069. The reversal of 222404064 is 460404222.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222404069) 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 7 ways as a sum of consecutive naturals, for example, 66507 + ... + 69770.

It is an arithmetic number, because the mean of its divisors is an integer number (12878271).

Almost surely, 2222404064 is an apocalyptic number.

222404064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

222404064 is an abundant number, since it is smaller than the sum of its proper divisors (395752944).

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

222404064 is a wasteful number, since it uses less digits than its factorization.

222404064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136307 (or 136299 counting only the distinct ones).

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

The square root of 222404064 is about 14913.2177614357. The cubic root of 222404064 is about 605.8720334531.

Adding to 222404064 its reverse (460404222), we get a palindrome (682808286).

The spelling of 222404064 in words is "two hundred twenty-two million, four hundred four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 136277 272554 408831 545108 817662 1090216 1635324 2180432 2316709 3270648 4360864 4633418 6541296 6950127 9266836 13082592 13900254 18533672 27800508 37067344 55601016 74134688 111202032 222404064