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7228520 = 2351313901
BaseRepresentation
bin11011100100110001101000
3111121020122222
4123210301220
53322303040
6414533212
7115304255
oct33446150
914536588
107228520
114097992
122507208
131661240
14d6242c
1597bbb5
hex6e4c68

7228520 has 32 divisors (see below), whose sum is σ = 17516520. Its totient is φ = 2668800.

The previous prime is 7228517. The next prime is 7228523. The reversal of 7228520 is 258227.

It is an interprime number because it is at equal distance from previous prime (7228517) and next prime (7228523).

It can be written as a sum of positive squares in 4 ways, for example, as 5635876 + 1592644 = 2374^2 + 1262^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 7228520.

It is not an unprimeable number, because it can be changed into a prime (7228523) 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 7 ways as a sum of consecutive naturals, for example, 6431 + ... + 7470.

Almost surely, 27228520 is an apocalyptic number.

It is an amenable number.

7228520 is an abundant number, since it is smaller than the sum of its proper divisors (10288000).

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

7228520 is a wasteful number, since it uses less digits than its factorization.

7228520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13925 (or 13921 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 7228520 is about 2688.5907089031. The cubic root of 7228520 is about 193.3525017327.

The spelling of 7228520 in words is "seven million, two hundred twenty-eight thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 13901 27802 55604 69505 111208 139010 180713 278020 361426 556040 722852 903565 1445704 1807130 3614260 7228520