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234213336 = 23337222129
BaseRepresentation
bin11011111010111…
…00111111011000
3121022201021022000
431331130333120
5434424311321
635124001000
75542531500
oct1575347730
9538637260
10234213336
11110230a45
1266530160
13396a5c96
142316aa00
1515866826
hexdf5cfd8

234213336 has 96 divisors (see below), whose sum is σ = 756846000. Its totient is φ = 66915072.

The previous prime is 234213319. The next prime is 234213337. The reversal of 234213336 is 633312432.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234213337) 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 23 ways as a sum of consecutive naturals, for example, 481 + ... + 21648.

Almost surely, 2234213336 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 234213336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378423000).

234213336 is an abundant number, since it is smaller than the sum of its proper divisors (522632664).

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

234213336 is a wasteful number, since it uses less digits than its factorization.

234213336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22158 (or 22141 counting only the distinct ones).

The product of its digits is 7776, while the sum is 27.

The square root of 234213336 is about 15304.0300574718. The cubic root of 234213336 is about 616.4112267912.

Adding to 234213336 its reverse (633312432), we get a palindrome (867525768).

The spelling of 234213336 in words is "two hundred thirty-four million, two hundred thirteen thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 84 98 108 126 147 168 189 196 216 252 294 378 392 441 504 588 756 882 1176 1323 1512 1764 2646 3528 5292 10584 22129 44258 66387 88516 132774 154903 177032 199161 265548 309806 398322 464709 531096 597483 619612 796644 929418 1084321 1194966 1239224 1394127 1593288 1858836 2168642 2389932 2788254 3252963 3717672 4182381 4337284 4779864 5576508 6505926 8364762 8674568 9758889 11153016 13011852 16729524 19517778 26023704 29276667 33459048 39035556 58553334 78071112 117106668 234213336