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234916224 = 2734143347
BaseRepresentation
bin11100000000010…
…00100110000000
3121101000222110220
432000020212000
5440114304344
635151023040
75551516644
oct1600104600
9541028426
10234916224
11110671044
126680aa80
1339890baa
14232b0c24
1515954c19
hexe008980

234916224 has 128 divisors (see below), whose sum is σ = 655966080. Its totient is φ = 74403840.

The previous prime is 234916223. The next prime is 234916277. The reversal of 234916224 is 422619432.

234916224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234916223) 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 15 ways as a sum of consecutive naturals, for example, 676819 + ... + 677165.

It is an arithmetic number, because the mean of its divisors is an integer number (5124735).

Almost surely, 2234916224 is an apocalyptic number.

234916224 is a gapful number since it is divisible by the number (24) 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 234916224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327983040).

234916224 is an abundant number, since it is smaller than the sum of its proper divisors (421049856).

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

234916224 is a wasteful number, since it uses less digits than its factorization.

234916224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 436 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 234916224 is about 15326.9770013529. The cubic root of 234916224 is about 617.0272397561.

The spelling of 234916224 in words is "two hundred thirty-four million, nine hundred sixteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 43 48 64 82 86 96 123 128 129 164 172 192 246 258 328 344 347 384 492 516 656 688 694 984 1032 1041 1312 1376 1388 1763 1968 2064 2082 2624 2752 2776 3526 3936 4128 4164 5248 5289 5504 5552 7052 7872 8256 8328 10578 11104 14104 14227 14921 15744 16512 16656 21156 22208 28208 28454 29842 33312 42312 42681 44416 44763 56416 56908 59684 66624 84624 85362 89526 112832 113816 119368 133248 169248 170724 179052 225664 227632 238736 338496 341448 358104 455264 477472 611761 676992 682896 716208 910528 954944 1223522 1365792 1432416 1821056 1835283 1909888 2447044 2731584 2864832 3670566 4894088 5463168 5729664 7341132 9788176 14682264 19576352 29364528 39152704 58729056 78305408 117458112 234916224