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133203204 = 2234537757
BaseRepresentation
bin1111111000010…
…00010100000100
3100021122102110000
413330020110010
5233100000304
621115001300
73205131351
oct774102404
9307572400
10133203204
116920a5a2
1238739230
132179a784
1413995628
15ba62939
hex7f08504

133203204 has 60 divisors (see below), whose sum is σ = 354835404. Its totient is φ = 43557696.

The previous prime is 133203193. The next prime is 133203221. The reversal of 133203204 is 402302331.

It can be written as a sum of positive squares in 2 ways, for example, as 103063104 + 30140100 = 10152^2 + 5490^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 19 ways as a sum of consecutive naturals, for example, 13294 + ... + 21050.

Almost surely, 2133203204 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 133203204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177417702).

133203204 is an abundant number, since it is smaller than the sum of its proper divisors (221632200).

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

133203204 is a wasteful number, since it uses less digits than its factorization.

133203204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7826 (or 7815 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 133203204 is about 11541.3692428585. The cubic root of 133203204 is about 510.7067019387.

Adding to 133203204 its reverse (402302331), we get a palindrome (535505535).

The spelling of 133203204 in words is "one hundred thirty-three million, two hundred three thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 81 106 108 159 162 212 318 324 477 636 954 1431 1908 2862 4293 5724 7757 8586 15514 17172 23271 31028 46542 69813 93084 139626 209439 279252 411121 418878 628317 822242 837756 1233363 1256634 1644484 2466726 2513268 3700089 4933452 7400178 11100267 14800356 22200534 33300801 44401068 66601602 133203204