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7228368 = 2432771101
BaseRepresentation
bin11011100100101111010000
3111121020110100
4123210233100
53322301433
6414532400
7115303650
oct33445720
914536410
107228368
114097864
122507100
131661154
14d62360
1597bb13
hex6e4bd0

7228368 has 120 divisors (see below), whose sum is σ = 23677056. Its totient is φ = 2016000.

The previous prime is 7228321. The next prime is 7228373. The reversal of 7228368 is 8638227.

It is a happy number.

7228368 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71518 + ... + 71618.

Almost surely, 27228368 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 7228368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11838528).

7228368 is an abundant number, since it is smaller than the sum of its proper divisors (16448688).

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

7228368 is a wasteful number, since it uses less digits than its factorization.

7228368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 184 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 7228368 is about 2688.5624411570. The cubic root of 7228368 is about 193.3511464628.

The spelling of 7228368 in words is "seven million, two hundred twenty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 71 72 84 101 112 126 142 144 168 202 213 252 284 303 336 404 426 497 504 568 606 639 707 808 852 909 994 1008 1136 1212 1278 1414 1491 1616 1704 1818 1988 2121 2424 2556 2828 2982 3408 3636 3976 4242 4473 4848 5112 5656 5964 6363 7171 7272 7952 8484 8946 10224 11312 11928 12726 14342 14544 16968 17892 21513 23856 25452 28684 33936 35784 43026 50197 50904 57368 64539 71568 86052 100394 101808 114736 129078 150591 172104 200788 258156 301182 344208 401576 451773 516312 602364 803152 903546 1032624 1204728 1807092 2409456 3614184 7228368