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7221968 = 241334721
BaseRepresentation
bin11011100011001011010000
3111120220200022
4123203023100
53322100333
6414443012
7115246205
oct33431320
914526608
107221968
114092a76
122503468
13165b270
14d5dcac
15979c98
hex6e32d0

7221968 has 20 divisors (see below), whose sum is σ = 15069348. Its totient is φ = 3333120.

The previous prime is 7221967. The next prime is 7221983. The reversal of 7221968 is 8691227.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2521744 + 4700224 = 1588^2 + 2168^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7221961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17153 + ... + 17568.

Almost surely, 27221968 is an apocalyptic number.

It is an amenable number.

7221968 is an abundant number, since it is smaller than the sum of its proper divisors (7847380).

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

7221968 is a wasteful number, since it uses less digits than its factorization.

7221968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34742 (or 34736 counting only the distinct ones).

The product of its digits is 12096, while the sum is 35.

The square root of 7221968 is about 2687.3719504378. The cubic root of 7221968 is about 193.2940652180.

The spelling of 7221968 in words is "seven million, two hundred twenty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 52 104 208 34721 69442 138884 277768 451373 555536 902746 1805492 3610984 7221968