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22114069264 = 24724721132
BaseRepresentation
bin10100100110000110…
…011110101100010000
32010002011112010002101
4110212012132230100
5330242200204024
614054205130144
71412002326100
oct244606365420
963064463071
1022114069264
1194188a7601
124351b59954
1321156805b1
1410dad95200
15896661c44
hex52619eb10

22114069264 has 135 divisors (see below), whose sum is σ = 51378937077. Its totient is φ = 9193723392.

The previous prime is 22114069253. The next prime is 22114069267. The reversal of 22114069264 is 46296041122.

The square root of 22114069264 is 148708.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 389667600 + 21724401664 = 19740^2 + 147392^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22114069267) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 195699672 + ... + 195699784.

Almost surely, 222114069264 is an apocalyptic number.

22114069264 is the 148708-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22114069264

22114069264 is an abundant number, since it is smaller than the sum of its proper divisors (29264867813).

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

22114069264 is an equidigital number, since it uses as much as digits as its factorization.

22114069264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The spelling of 22114069264 in words is "twenty-two billion, one hundred fourteen million, sixty-nine thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 47 49 56 94 98 112 113 188 196 226 329 376 392 452 658 752 784 791 904 1316 1582 1808 2209 2303 2632 3164 4418 4606 5264 5311 5537 6328 8836 9212 10622 11074 12656 12769 15463 17672 18424 21244 22148 25538 30926 35344 36848 37177 42488 44296 51076 61852 74354 84976 88592 89383 102152 108241 123704 148708 178766 204304 216482 247408 249617 260239 297416 357532 432964 499234 520478 594832 600143 625681 715064 865928 998468 1040956 1200286 1251362 1430128 1731856 1747319 1996936 2081912 2400572 2502724 3494638 3993872 4163824 4201001 4801144 5005448 6989276 8402002 9602288 10010896 12231233 13978552 16804004 24462466 27957104 28206721 29407007 33608008 48924932 56413442 58814014 67216016 97849864 112826884 117628028 195699728 197447047 225653768 235256056 394894094 451307536 470512112 789788188 1382129329 1579576376 2764258658 3159152752 5528517316 11057034632 22114069264