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135334224 = 24321138317
BaseRepresentation
bin10000001000100…
…00100101010000
3100102122200122200
420010100211100
5234121143344
621232403200
73232215264
oct1004204520
9312580580
10135334224
116a435673
12393a6500
132206572c
1413d8c0a4
15bd34069
hex8110950

135334224 has 60 divisors (see below), whose sum is σ = 382145556. Its totient is φ = 44706816.

The previous prime is 135334223. The next prime is 135334237. The reversal of 135334224 is 422433531.

It can be written as a sum of positive squares in 2 ways, for example, as 67765824 + 67568400 = 8232^2 + 8220^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135334223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12114 + ... + 20430.

Almost surely, 2135334224 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 135334224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191072778).

135334224 is an abundant number, since it is smaller than the sum of its proper divisors (246811332).

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

135334224 is a wasteful number, since it uses less digits than its factorization.

135334224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8444 (or 8435 counting only the distinct ones).

The product of its digits is 8640, while the sum is 27.

The square root of 135334224 is about 11633.3238586399. The cubic root of 135334224 is about 513.4157795651.

Adding to 135334224 its reverse (422433531), we get a palindrome (557767755).

The spelling of 135334224 in words is "one hundred thirty-five million, three hundred thirty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 113 144 226 339 452 678 904 1017 1356 1808 2034 2712 4068 5424 8136 8317 16272 16634 24951 33268 49902 66536 74853 99804 133072 149706 199608 299412 399216 598824 939821 1197648 1879642 2819463 3759284 5638926 7518568 8458389 11277852 15037136 16916778 22555704 33833556 45111408 67667112 135334224