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22814049852 = 223211314739541
BaseRepresentation
bin10101001111110100…
…101100011000111100
32011212221122210221100
4111033310230120330
5333210344043402
614251452133100
71435232136606
oct251764543074
964787583840
1022814049852
119747a33360
124508467190
1321c76b3ba9
141165d26176
158d7d2d71c
hex54fd2c63c

22814049852 has 144 divisors (see below), whose sum is σ = 66324271104. Its totient is φ = 6547824000.

The previous prime is 22814049851. The next prime is 22814049901. The reversal of 22814049852 is 25894041822.

It is a junction number, because it is equal to n+sod(n) for n = 22814049798 and 22814049807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22814049851) 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 47 ways as a sum of consecutive naturals, for example, 557202 + ... + 596742.

It is an arithmetic number, because the mean of its divisors is an integer number (460585216).

Almost surely, 222814049852 is an apocalyptic number.

22814049852 is a gapful number since it is divisible by the number (22) 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 22814049852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33162135552).

22814049852 is an abundant number, since it is smaller than the sum of its proper divisors (43510221252).

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

22814049852 is a wasteful number, since it uses less digits than its factorization.

22814049852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39640 (or 39635 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 22814049852 in words is "twenty-two billion, eight hundred fourteen million, forty-nine thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 31 33 36 44 47 62 66 93 94 99 124 132 141 186 188 198 279 282 341 372 396 423 517 558 564 682 846 1023 1034 1116 1364 1457 1551 1692 2046 2068 2914 3069 3102 4092 4371 4653 5828 6138 6204 8742 9306 12276 13113 16027 17484 18612 26226 32054 39541 48081 52452 64108 79082 96162 118623 144243 158164 192324 237246 288486 355869 434951 474492 576972 711738 869902 1225771 1304853 1423476 1739804 1858427 2451542 2609706 3677313 3716854 3914559 4903084 5219412 5575281 7354626 7433708 7829118 11031939 11150562 13483481 14709252 15658236 16725843 20442697 22063878 22301124 26966962 33451686 40450443 40885394 44127756 53933924 57611237 61328091 66903372 80900886 81770788 115222474 121351329 122656182 161801772 172833711 183984273 230444948 242702658 245312364 345667422 367968546 485405316 518501133 633723607 691334844 735937092 1037002266 1267447214 1901170821 2074004532 2534894428 3802341642 5703512463 7604683284 11407024926 22814049852