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5831830224 = 243411237189
BaseRepresentation
bin1010110111001101…
…01010101011010000
3120001102121200010000
411123212222223100
543420422031344
62402404210000
7264342511323
oct53346525320
916042550100
105831830224
112522a09400
121169099900
1371c2a781c
143d47547ba
15241eb9a69
hex15b9aaad0

5831830224 has 150 divisors (see below), whose sum is σ = 18553458770. Its totient is φ = 1767173760.

The previous prime is 5831830223. The next prime is 5831830231. The reversal of 5831830224 is 4220381385.

It can be written as a sum of positive squares in only one way, i.e., 5661057600 + 170772624 = 75240^2 + 13068^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5831830223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 138222 + ... + 175410.

Almost surely, 25831830224 is an apocalyptic number.

5831830224 is a gapful number since it is divisible by the number (54) 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 5831830224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9276729385).

5831830224 is an abundant number, since it is smaller than the sum of its proper divisors (12721628546).

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

5831830224 is a wasteful number, since it uses less digits than its factorization.

5831830224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37231 (or 37205 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 5831830224 is about 76366.4207881972. The cubic root of 5831830224 is about 1799.9825331638.

The spelling of 5831830224 in words is "five billion, eight hundred thirty-one million, eight hundred thirty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 81 88 99 108 121 132 144 162 176 198 216 242 264 297 324 363 396 432 484 528 594 648 726 792 891 968 1089 1188 1296 1452 1584 1782 1936 2178 2376 2904 3267 3564 4356 4752 5808 6534 7128 8712 9801 13068 14256 17424 19602 26136 37189 39204 52272 74378 78408 111567 148756 156816 223134 297512 334701 409079 446268 595024 669402 818158 892536 1004103 1227237 1338804 1636316 1785072 2008206 2454474 2677608 3012309 3272632 3681711 4016412 4499869 4908948 5355216 6024618 6545264 7363422 8032824 8999738 9817896 11045133 12049236 13499607 14726844 16065648 17999476 19635792 22090266 24098472 26999214 29453688 33135399 35998952 40498821 44180532 48196944 53998428 58907376 66270798 71997904 80997642 88361064 107996856 121496463 132541596 161995284 176722128 215993712 242992926 265083192 323990568 364489389 485985852 530166384 647981136 728978778 971971704 1457957556 1943943408 2915915112 5831830224