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133414204 = 227113189157
BaseRepresentation
bin1111111001110…
…11110100111100
3100022001010212211
413330323310330
5233123223304
621123310204
73210000460
oct774736474
9308033784
10133414204
1169344080
123881b364
1321842821
1413a0c4a0
15baa5204
hex7f3bd3c

133414204 has 96 divisors (see below), whose sum is σ = 305786880. Its totient is φ = 49420800.

The previous prime is 133414201. The next prime is 133414217. The reversal of 133414204 is 402414331.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133414201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 849694 + ... + 849850.

It is an arithmetic number, because the mean of its divisors is an integer number (3185280).

Almost surely, 2133414204 is an apocalyptic number.

133414204 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133414204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152893440).

133414204 is an abundant number, since it is smaller than the sum of its proper divisors (172372676).

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

133414204 is a wasteful number, since it uses less digits than its factorization.

133414204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 133414204 is about 11550.5066555541. The cubic root of 133414204 is about 510.9762206450.

Adding to 133414204 its reverse (402414331), we get a palindrome (535828535).

The spelling of 133414204 in words is "one hundred thirty-three million, four hundred fourteen thousand, two hundred four".

Divisors: 1 2 4 7 11 14 22 28 31 44 62 77 89 124 154 157 178 217 308 314 341 356 434 623 628 682 868 979 1099 1246 1364 1727 1958 2198 2387 2492 2759 3454 3916 4396 4774 4867 5518 6853 6908 9548 9734 11036 12089 13706 13973 19313 19468 24178 27412 27946 30349 34069 38626 48356 53537 55892 60698 68138 77252 97811 107074 121396 136276 153703 195622 212443 214148 307406 374759 391244 424886 433163 614812 749518 849772 866326 1075921 1499036 1732652 2151842 3032141 4303684 4764793 6064282 9529586 12128564 19059172 33353551 66707102 133414204