Search a number
-
+
10221764 = 227365063
BaseRepresentation
bin100110111111…
…100011000100
3201020022121212
4212333203010
510104044024
61003030552
7152612030
oct46774304
921208555
1010221764
115851843
12350b458
13216b7a7
1415011c0
15d6da0e
hex9bf8c4

10221764 has 12 divisors (see below), whose sum is σ = 20443584. Its totient is φ = 4380744.

The previous prime is 10221737. The next prime is 10221767. The reversal of 10221764 is 46712201.

10221764 is an admirable number.

It is not an unprimeable number, because it can be changed into a prime (10221767) 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, 182504 + ... + 182559.

It is an arithmetic number, because the mean of its divisors is an integer number (1703632).

Almost surely, 210221764 is an apocalyptic number.

10221764 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10221764 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

10221764 is a wasteful number, since it uses less digits than its factorization.

10221764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365074 (or 365072 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 10221764 is about 3197.1493552851. The cubic root of 10221764 is about 217.0244261687.

Adding to 10221764 its reverse (46712201), we get a palindrome (56933965).

The spelling of 10221764 in words is "ten million, two hundred twenty-one thousand, seven hundred sixty-four".

Divisors: 1 2 4 7 14 28 365063 730126 1460252 2555441 5110882 10221764