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22234034540032 = 29729383558539
BaseRepresentation
bin1010000111000110000111…
…01110110000111000000000
32220201112221002120210221221
411003203003232300320000
510403240300320240112
6115142101403324424
74453233050214130
oct503430356607000
986645832523857
1022234034540032
1170a2445948757
1225b1131220714
13c53878055353
1456c1c0dbcac0
1528855920ae07
hex1438c3bb0e00

22234034540032 has 160 divisors (see below), whose sum is σ = 52658972467200. Its totient is φ = 9176252080128.

The previous prime is 22234034540017. The next prime is 22234034540063. The reversal of 22234034540032 is 23004543043222.

It is a super-2 number, since 2×222340345400322 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22234034540032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39528219 + ... + 40086757.

It is an arithmetic number, because the mean of its divisors is an integer number (329118577920).

Almost surely, 222234034540032 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 22234034540032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26329486233600).

22234034540032 is an abundant number, since it is smaller than the sum of its proper divisors (30424937927168).

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

22234034540032 is an equidigital number, since it uses as much as digits as its factorization.

22234034540032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558976 (or 558960 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 34.

Adding to 22234034540032 its reverse (23004543043222), we get a palindrome (45238577583254).

The spelling of 22234034540032 in words is "twenty-two trillion, two hundred thirty-four billion, thirty-four million, five hundred forty thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 128 203 224 232 256 383 406 448 464 512 766 812 896 928 1532 1624 1792 1856 2681 3064 3248 3584 3712 5362 6128 6496 7424 10724 11107 12256 12992 14848 21448 22214 24512 25984 42896 44428 49024 51968 77749 85792 88856 98048 103936 155498 171584 177712 196096 310996 343168 355424 558539 621992 686336 710848 1117078 1243984 1372672 1421696 2234156 2487968 2843392 3909773 4468312 4975936 5686784 7819546 8936624 9951872 15639092 16197631 17873248 19903744 31278184 32395262 35746496 39807488 62556368 64790524 71492992 113383417 125112736 129581048 142985984 213920437 226766834 250225472 259162096 285971968 427840874 453533668 500450944 518324192 855681748 907067336 1000901888 1036648384 1497443059 1711363496 1814134672 2001803776 2073296768 2994886118 3422726992 3628269344 4146593536 5989772236 6203692673 6845453984 7256538688 8293187072 11979544472 12407385346 13690907968 14513077376 23959088944 24814770692 27381815936 29026154752 43425848711 47918177888 49629541384 54763631872 58052309504 86851697422 95836355776 99259082768 109527263744 173703394844 191672711552 198518165536 347406789688 383345423104 397036331072 694813579376 766690846208 794072662144 1389627158752 1588145324288 2779254317504 3176290648576 5558508635008 11117017270016 22234034540032