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7221984 = 253711977
BaseRepresentation
bin11011100011001011100000
3111120220200220
4123203023200
53322100414
6414443040
7115246230
oct33431340
914526626
107221984
114092a90
122503480
13165b283
14d5dcc0
15979ca9
hex6e32e0

7221984 has 96 divisors (see below), whose sum is σ = 23659776. Its totient is φ = 1873920.

The previous prime is 7221983. The next prime is 7222001. The reversal of 7221984 is 4891227.

It is a happy number.

7221984 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

Its product of digits (8064) is a multiple of the sum of its prime factors (1008).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7221983) 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 15 ways as a sum of consecutive naturals, for example, 6904 + ... + 7880.

It is an arithmetic number, because the mean of its divisors is an integer number (246456).

Almost surely, 27221984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7221984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11829888).

7221984 is an abundant number, since it is smaller than the sum of its proper divisors (16437792).

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

7221984 is a wasteful number, since it uses less digits than its factorization.

7221984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008 (or 1000 counting only the distinct ones).

The product of its digits is 8064, while the sum is 33.

The square root of 7221984 is about 2687.3749273222. The cubic root of 7221984 is about 193.2942079632.

The spelling of 7221984 in words is "seven million, two hundred twenty-one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 66 77 84 88 96 112 132 154 168 176 224 231 264 308 336 352 462 528 616 672 924 977 1056 1232 1848 1954 2464 2931 3696 3908 5862 6839 7392 7816 10747 11724 13678 15632 20517 21494 23448 27356 31264 32241 41034 42988 46896 54712 64482 75229 82068 85976 93792 109424 128964 150458 164136 171952 218848 225687 257928 300916 328272 343904 451374 515856 601832 656544 902748 1031712 1203664 1805496 2407328 3610992 7221984