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20234392308 = 223213225712941
BaseRepresentation
bin10010110110000100…
…000101001011110100
31221020011120122001100
4102312010011023310
5312420001023213
613143501130100
71314266332254
oct226604051364
957204518040
1020234392308
118643872479
123b08559930
131ba6114200
14d9d49b964
157d661a773
hex4b61052f4

20234392308 has 108 divisors (see below), whose sum is σ = 55604966508. Its totient is φ = 6201262080.

The previous prime is 20234392291. The next prime is 20234392313. The reversal of 20234392308 is 80329343202.

20234392308 is a `hidden beast` number, since 2 + 0 + 2 + 343 + 9 + 2 + 308 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 112402404 + 20121989904 = 10602^2 + 141852^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1557118 + ... + 1570058.

It is an arithmetic number, because the mean of its divisors is an integer number (514860801).

Almost surely, 220234392308 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 20234392308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27802483254).

20234392308 is an abundant number, since it is smaller than the sum of its proper divisors (35370574200).

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

20234392308 is a wasteful number, since it uses less digits than its factorization.

20234392308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13234 (or 13216 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 20234392308 in words is "twenty billion, two hundred thirty-four million, three hundred ninety-two thousand, three hundred eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 257 338 468 507 514 676 771 1014 1028 1521 1542 2028 2313 3042 3084 3341 4626 6084 6682 9252 10023 12941 13364 20046 25882 30069 38823 40092 43433 51764 60138 77646 86866 116469 120276 130299 155292 168233 173732 232938 260598 336466 390897 465876 504699 521196 672932 781794 1009398 1514097 1563588 2018796 2187029 3028194 3325837 4374058 6056388 6561087 6651674 8748116 9977511 13122174 13303348 19683261 19955022 26244348 29932533 39366522 39910044 43235881 59865066 78733044 86471762 119730132 129707643 172943524 259415286 389122929 518830572 562066453 778245858 1124132906 1556491716 1686199359 2248265812 3372398718 5058598077 6744797436 10117196154 20234392308