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36040225 = 5213173641
BaseRepresentation
bin1000100101111…
…0111000100001
32111211000220011
42021132320201
533211241400
63324244521
7615223354
oct211367041
974730804
1036040225
1119386611
12100a0741
13760b3a0
144b0229b
15326d8ba
hex225ee21

36040225 has 24 divisors (see below), whose sum is σ = 48481272. Its totient is φ = 26419200.

The previous prime is 36040219. The next prime is 36040229. The reversal of 36040225 is 52204063.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 2307361 + 33732864 = 1519^2 + 5808^2 .

It is a de Polignac number, because none of the positive numbers 2k-36040225 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 36040196 and 36040205.

It is not an unprimeable number, because it can be changed into a prime (36040229) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55905 + ... + 56545.

It is an arithmetic number, because the mean of its divisors is an integer number (2020053).

Almost surely, 236040225 is an apocalyptic number.

It is an amenable number.

36040225 is a deficient number, since it is larger than the sum of its proper divisors (12441047).

36040225 is a wasteful number, since it uses less digits than its factorization.

36040225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 36040225 is about 6003.3511474842. The cubic root of 36040225 is about 330.3156606163.

Adding to 36040225 its reverse (52204063), we get a palindrome (88244288).

The spelling of 36040225 in words is "thirty-six million, forty thousand, two hundred twenty-five".

Divisors: 1 5 13 25 65 173 325 641 865 2249 3205 4325 8333 11245 16025 41665 56225 110893 208325 554465 1441609 2772325 7208045 36040225