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334422202542232 = 23771161954199587
BaseRepresentation
bin100110000001001111011110…
…0100101100110100010011000
31121212002110011021220102110011
41030002132330211212202120
5322313133132322322412
63143131234451131304
7130304130635445310
oct11402367445464230
91555073137812404
10334422202542232
1197614728a6a0a2
123161131aba3b34
131147ab55a6727c
145c82199d0a440
15289e1502c77a7
hex13027bc966898

334422202542232 has 128 divisors (see below), whose sum is σ = 727371145728000. Its totient is φ = 141177089531520.

The previous prime is 334422202542203. The next prime is 334422202542293. The reversal of 334422202542232 is 232245202224433.

It is a super-2 number, since 2×3344222025422322 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34882878543 + ... + 34882888129.

It is an arithmetic number, because the mean of its divisors is an integer number (5682587076000).

Almost surely, 2334422202542232 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 334422202542232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363685572864000).

334422202542232 is an abundant number, since it is smaller than the sum of its proper divisors (392948943185768).

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

334422202542232 is a wasteful number, since it uses less digits than its factorization.

334422202542232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16709 (or 16705 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 40.

Adding to 334422202542232 its reverse (232245202224433), we get a palindrome (566667404766665).

The spelling of 334422202542232 in words is "three hundred thirty-four trillion, four hundred twenty-two billion, two hundred two million, five hundred forty-two thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 56 71 142 284 497 568 994 1619 1988 3238 3976 5419 6476 9587 10838 11333 12952 19174 21676 22666 37933 38348 43352 45332 67109 75866 76696 90664 114949 134218 151732 229898 268436 303464 384749 459796 536872 680677 769498 804643 919592 1361354 1538996 1609286 2693243 2722708 3077992 3218572 4764739 5386486 5445416 6437144 8773361 9529478 10772972 15521353 17546722 19058956 21545944 31042706 35093444 38117912 51951953 61413527 62085412 70186888 103903906 108649471 122827054 124170824 207807812 217298942 245654108 363663671 415615624 434597884 491308216 622908631 727327342 869195768 1102016063 1245817262 1454654684 2204032126 2491634524 2909309368 3688588663 4360360417 4408064252 4983269048 7377177326 7714112441 8720720834 8816128504 14754354652 15428224882 17441441668 25820120641 29508709304 30856449764 34882883336 51640241282 61712899528 84110211907 103280482564 168220423814 206560965128 336440847628 588771483349 672881695256 1177542966698 2355085933396 4710171866792 5971825045397 11943650090794 23887300181588 41802775317779 47774600363176 83605550635558 167211101271116 334422202542232