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22172370854432 = 253779730732441
BaseRepresentation
bin1010000101010011010000…
…10010011110001000100000
32220111122202122111000121112
411002221220102132020200
510401233003414320212
6115053502504442452
74445621006432111
oct502515022361040
986448678430545
1022172370854432
117079282351017
1225a11a2179428
13c4aacba24a16
145692115b8208
15286b4a8c9422
hex142a6849e220

22172370854432 has 96 divisors (see below), whose sum is σ = 45406736766720. Its totient is φ = 10648234321920.

The previous prime is 22172370854423. The next prime is 22172370854443. The reversal of 22172370854432 is 23445807327122.

It is a super-2 number, since 2×221723708544322 (a number of 27 digits) contains 22 as substring.

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, 683451332 + ... + 683483772.

It is an arithmetic number, because the mean of its divisors is an integer number (472986841320).

Almost surely, 222172370854432 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 22172370854432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22703368383360).

22172370854432 is an abundant number, since it is smaller than the sum of its proper divisors (23234365912288).

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

22172370854432 is a wasteful number, since it uses less digits than its factorization.

22172370854432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39874 (or 39866 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 50.

The spelling of 22172370854432 in words is "twenty-two trillion, one hundred seventy-two billion, three hundred seventy million, eight hundred fifty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 37 74 79 148 158 296 316 592 632 1184 1264 2528 2923 5846 7307 11692 14614 23384 29228 32441 46768 58456 64882 93536 116912 129764 233824 259528 270359 519056 540718 577253 1038112 1081436 1154506 1200317 2162872 2309012 2400634 2562839 4325744 4618024 4801268 5125678 8651488 9236048 9602536 10251356 18472096 19205072 20502712 21358361 38410144 41005424 42716722 82010848 85433444 94825043 170866888 189650086 237046387 341733776 379300172 474092774 683467552 758600344 948185548 1517200688 1896371096 3034401376 3792742192 7585484384 8770716319 17541432638 18726664573 35082865276 37453329146 70165730552 74906658292 140331461104 149813316584 280662922208 299626633168 599253266336 692886589201 1385773178402 2771546356804 5543092713608 11086185427216 22172370854432