Search a number
-
+
228801264 = 24347101419
BaseRepresentation
bin11011010001100…
…11101011110000
3120221112022022220
431220303223300
5432033120024
634412001040
75445531036
oct1550635360
9527468286
10228801264
1110817485a
1264760180
133852c783
142255c556
1515147e79
hexda33af0

228801264 has 40 divisors (see below), whose sum is σ = 603651840. Its totient is φ = 74643648.

The previous prime is 228801227. The next prime is 228801269. The reversal of 228801264 is 462108822.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228801269) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48454 + ... + 52965.

It is an arithmetic number, because the mean of its divisors is an integer number (15091296).

Almost surely, 2228801264 is an apocalyptic number.

228801264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

228801264 is an abundant number, since it is smaller than the sum of its proper divisors (374850576).

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

228801264 is a wasteful number, since it uses less digits than its factorization.

228801264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101477 (or 101471 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 228801264 is about 15126.1781028785. The cubic root of 228801264 is about 611.6262830076.

The spelling of 228801264 in words is "two hundred twenty-eight million, eight hundred one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 141 188 282 376 564 752 1128 2256 101419 202838 304257 405676 608514 811352 1217028 1622704 2434056 4766693 4868112 9533386 14300079 19066772 28600158 38133544 57200316 76267088 114400632 228801264