Search a number
-
+
22010916960 = 2532553288403
BaseRepresentation
bin10100011111111100…
…111111000001100000
32002210222102102201200
4110133330333001200
5330034243320320
614040042201200
71406310464364
oct243774770140
962728372650
1022010916960
11937565276a
1243234b3200
1320ca1a5026
1410cb3c32a4
1588c588290
hex51ff3f060

22010916960 has 144 divisors (see below), whose sum is σ = 76529731824. Its totient is φ = 5758811136.

The previous prime is 22010916959. The next prime is 22010917091. The reversal of 22010916960 is 6961901022.

It is a tau number, because it is divible by the number of its divisors (144).

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 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, 67882 + ... + 220521.

It is an arithmetic number, because the mean of its divisors is an integer number (531456471).

Almost surely, 222010916960 is an apocalyptic number.

22010916960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22010916960 is an abundant number, since it is smaller than the sum of its proper divisors (54518814864).

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

22010916960 is a wasteful number, since it uses less digits than its factorization.

22010916960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288477 (or 288466 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 22010916960 in words is "twenty-two billion, ten million, nine hundred sixteen thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 53 60 72 80 90 96 106 120 144 159 160 180 212 240 265 288 318 360 424 477 480 530 636 720 795 848 954 1060 1272 1440 1590 1696 1908 2120 2385 2544 3180 3816 4240 4770 5088 6360 7632 8480 9540 12720 15264 19080 25440 38160 76320 288403 576806 865209 1153612 1442015 1730418 2307224 2595627 2884030 3460836 4326045 4614448 5191254 5768060 6921672 8652090 9228896 10382508 11536120 12978135 13843344 15285359 17304180 20765016 23072240 25956270 27686688 30570718 34608360 41530032 45856077 46144480 51912540 61141436 69216720 76426795 83060064 91712154 103825080 122282872 137568231 138433440 152853590 183424308 207650160 229280385 244565744 275136462 305707180 366848616 415300320 458560770 489131488 550272924 611414360 687841155 733697232 917121540 1100545848 1222828720 1375682310 1467394464 1834243080 2201091696 2445657440 2751364620 3668486160 4402183392 5502729240 7336972320 11005458480 22010916960