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133683225 = 35213253199
BaseRepresentation
bin1111111011111…
…01100000011001
3100022112210220120
413331331200121
5233210330400
621133143453
73212201004
oct775754031
9308483816
10133683225
1169508205
123892ab89
1321908100
1413a7c53b
15bb09ca0
hex7f7d819

133683225 has 72 divisors (see below), whose sum is σ = 245073600. Its totient is φ = 64247040.

The previous prime is 133683217. The next prime is 133683229. The reversal of 133683225 is 522386331.

It is not a de Polignac number, because 133683225 - 23 = 133683217 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133683229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 671676 + ... + 671874.

It is an arithmetic number, because the mean of its divisors is an integer number (3403800).

Almost surely, 2133683225 is an apocalyptic number.

133683225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

133683225 is a deficient number, since it is larger than the sum of its proper divisors (111390375).

133683225 is a wasteful number, since it uses less digits than its factorization.

133683225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 273 counting only the distinct ones).

The product of its digits is 25920, while the sum is 33.

The square root of 133683225 is about 11562.1462108036. The cubic root of 133683225 is about 511.3194400770.

The spelling of 133683225 in words is "one hundred thirty-three million, six hundred eighty-three thousand, two hundred twenty-five".

Divisors: 1 3 5 13 15 25 39 53 65 75 159 169 195 199 265 325 507 597 689 795 845 975 995 1325 2067 2535 2587 2985 3445 3975 4225 4975 7761 8957 10335 10547 12675 12935 14925 17225 26871 31641 33631 38805 44785 51675 52735 64675 100893 134355 137111 158205 168155 194025 223925 263675 411333 504465 671775 685555 791025 840775 1782443 2056665 2522325 3427775 5347329 8912215 10283325 26736645 44561075 133683225