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133224234 = 2311132343157
BaseRepresentation
bin1111111000011…
…01011100101010
3100021200111021220
413330031130222
5233101133414
621115242510
73205246563
oct774153452
9307614256
10133224234
1169224380
1238749436
13217a7210
141399d16a
15ba68ca9
hex7f0d72a

133224234 has 128 divisors (see below), whose sum is σ = 336365568. Its totient is φ = 34594560.

The previous prime is 133224227. The next prime is 133224239. The reversal of 133224234 is 432422331.

It is not an unprimeable number, because it can be changed into a prime (133224239) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 848484 + ... + 848640.

It is an arithmetic number, because the mean of its divisors is an integer number (2627856).

Almost surely, 2133224234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133224234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168182784).

133224234 is an abundant number, since it is smaller than the sum of its proper divisors (203141334).

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

133224234 is a wasteful number, since it uses less digits than its factorization.

133224234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252.

The product of its digits is 3456, while the sum is 24.

The square root of 133224234 is about 11542.2802773109. The cubic root of 133224234 is about 510.7335771601.

Adding to 133224234 its reverse (432422331), we get a palindrome (565646565).

The spelling of 133224234 in words is "one hundred thirty-three million, two hundred twenty-four thousand, two hundred thirty-four".

Divisors: 1 2 3 6 11 13 22 23 26 33 39 43 46 66 69 78 86 129 138 143 157 253 258 286 299 314 429 471 473 506 559 598 759 858 897 942 946 989 1118 1419 1518 1677 1727 1794 1978 2041 2838 2967 3289 3354 3454 3611 4082 5181 5934 6123 6149 6578 6751 7222 9867 10362 10833 10879 12246 12298 12857 13502 18447 19734 20253 21666 21758 22451 25714 32637 36894 38571 39721 40506 44902 46943 65274 67353 74261 77142 79442 87763 93886 119163 134706 140829 141427 148522 155273 175526 222783 238326 263289 281658 282854 310546 424281 445566 465819 516373 526578 848562 931638 965393 1032746 1549119 1708003 1930786 2018549 2896179 3098238 3416006 4037098 5124009 5792358 6055647 10248018 12111294 22204039 44408078 66612117 133224234