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22244266332640 = 2551121571731369
BaseRepresentation
bin1010000111011001001011…
…00101111101000111100000
32220202112100011111201202201
411003230211211331013200
510403422224140121030
6115150512550222544
74454044441056232
oct503544545750740
986675304451681
1022244266332640
1170a681648aa00
1225b3107954a54
13c54818a7b9c1
1456c8b1c3c252
152889576032ca
hex143b2597d1e0

22244266332640 has 144 divisors (see below), whose sum is σ = 57800703537360. Its totient is φ = 8083664230400.

The previous prime is 22244266332623. The next prime is 22244266332643. The reversal of 22244266332640 is 4623366244222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22244266332643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30048876 + ... + 30780244.

It is an arithmetic number, because the mean of its divisors is an integer number (401393774565).

Almost surely, 222244266332640 is an apocalyptic number.

22244266332640 is a gapful number since it is divisible by the number (20) 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 22244266332640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28900351768680).

22244266332640 is an abundant number, since it is smaller than the sum of its proper divisors (35556437204720).

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

22244266332640 is a wasteful number, since it uses less digits than its factorization.

22244266332640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732977 (or 732958 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 46.

The spelling of 22244266332640 in words is "twenty-two trillion, two hundred forty-four billion, two hundred sixty-six million, three hundred thirty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 121 160 176 220 242 352 440 484 605 880 968 1210 1571 1760 1936 2420 3142 3872 4840 6284 7855 9680 12568 15710 17281 19360 25136 31420 34562 50272 62840 69124 86405 125680 138248 172810 190091 251360 276496 345620 380182 552992 691240 731369 760364 950455 1382480 1462738 1520728 1900910 2764960 2925476 3041456 3656845 3801820 5850952 6082912 7313690 7603640 8045059 11701904 14627380 15207280 16090118 23403808 29254760 30414560 32180236 40225295 58509520 64360472 80450590 88495649 117019040 128720944 160901180 176991298 257441888 321802360 353982596 442478245 643604720 707965192 884956490 1148980699 1287209440 1415930384 1769912980 2297961398 2831860768 3539825960 4595922796 5744903495 7079651920 9191845592 11489806990 12638787689 14159303840 18383691184 22979613980 25277575378 36767382368 45959227960 50555150756 63193938445 91918455920 101110301512 126387876890 139026664579 183836911840 202220603024 252775753780 278053329158 404441206048 505551507560 556106658316 695133322895 1011103015120 1112213316632 1390266645790 2022206030240 2224426633264 2780533291580 4448853266528 5561066583160 11122133166320 22244266332640