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7222368 = 253233271
BaseRepresentation
bin11011100011010001100000
3111120221020010
4123203101200
53322103433
6414444520
7115250316
oct33432140
914527203
107222368
1140932aa
122503740
13165b4ba
14d600b6
15979e63
hex6e3460

7222368 has 48 divisors (see below), whose sum is σ = 19789056. Its totient is φ = 2302080.

The previous prime is 7222361. The next prime is 7222373. The reversal of 7222368 is 8632227.

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

It is a d-powerful number, because it can be written as 75 + 28 + 214 + 221 + 314 + 66 + 86 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7222361) 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, 573 + ... + 3843.

It is an arithmetic number, because the mean of its divisors is an integer number (412272).

Almost surely, 27222368 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 7222368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9894528).

7222368 is an abundant number, since it is smaller than the sum of its proper divisors (12566688).

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

7222368 is a wasteful number, since it uses less digits than its factorization.

7222368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3307 (or 3299 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 7222368 is about 2687.4463715580. The cubic root of 7222368 is about 193.2976337836.

The spelling of 7222368 in words is "seven million, two hundred twenty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 2208 3271 6542 9813 13084 19626 26168 39252 52336 75233 78504 104672 150466 157008 225699 300932 314016 451398 601864 902796 1203728 1805592 2407456 3611184 7222368