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36352225 = 5271319292
BaseRepresentation
bin1000101010101…
…1000011100001
32112101212212201
42022223003201
533301232400
63335053201
7620663110
oct212530341
975355781
1036352225
1119579a68
1210211201
1376ba3c0
144b83c77
1532d106a
hex22ab0e1

36352225 has 72 divisors (see below), whose sum is σ = 60482240. Its totient is φ = 21047040.

The previous prime is 36352219. The next prime is 36352231. The reversal of 36352225 is 52225363.

36352225 is nontrivially palindromic in base 12.

It is an interprime number because it is at equal distance from previous prime (36352219) and next prime (36352231).

It is not a de Polignac number, because 36352225 - 211 = 36350177 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 36352193 and 36352202.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 1253511 + ... + 1253539.

Almost surely, 236352225 is an apocalyptic number.

36352225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

36352225 is a deficient number, since it is larger than the sum of its proper divisors (24130015).

36352225 is a wasteful number, since it uses less digits than its factorization.

36352225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 73 counting only the distinct ones).

The product of its digits is 10800, while the sum is 28.

The square root of 36352225 is about 6029.2806370246. The cubic root of 36352225 is about 331.2661034061.

Adding to 36352225 its reverse (52225363), we get a palindrome (88577588).

The spelling of 36352225 in words is "thirty-six million, three hundred fifty-two thousand, two hundred twenty-five".

Divisors: 1 5 7 13 19 25 29 35 65 91 95 133 145 175 203 247 325 377 455 475 551 665 725 841 1015 1235 1729 1885 2275 2639 2755 3325 3857 4205 5075 5887 6175 7163 8645 9425 10933 13195 13775 15979 19285 21025 29435 35815 43225 50141 54665 65975 76531 79895 96425 111853 147175 179075 207727 250705 273325 382655 399475 559265 1038635 1253525 1454089 1913275 2796325 5193175 7270445 36352225