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33220141422 = 231317291914523
BaseRepresentation
bin11110111100000100…
…110010000101101110
310011202011120000222020
4132330010302011232
51021013324011142
623132222531010
72254140354156
oct367404620556
9104664500866
1033220141422
11130a79a3a36
126531436a66
133195566520
141871d97766
15ce66a4cec
hex7bc13216e

33220141422 has 128 divisors (see below), whose sum is σ = 78800117760. Its totient is φ = 9237903360.

The previous prime is 33220141417. The next prime is 33220141441. The reversal of 33220141422 is 22414102233.

It is a happy number.

It is a super-2 number, since 2×332201414222 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33220141392 and 33220141401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7342453 + ... + 7346975.

It is an arithmetic number, because the mean of its divisors is an integer number (615625920).

Almost surely, 233220141422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33220141422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39400058880).

33220141422 is an abundant number, since it is smaller than the sum of its proper divisors (45579976338).

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

33220141422 is a wasteful number, since it uses less digits than its factorization.

33220141422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4778.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 33220141422 its reverse (22414102233), we get a palindrome (55634243655).

The spelling of 33220141422 in words is "thirty-three billion, two hundred twenty million, one hundred forty-one thousand, four hundred twenty-two".

Divisors: 1 2 3 6 13 17 26 29 34 39 51 58 78 87 102 174 191 221 377 382 442 493 573 663 754 986 1131 1146 1326 1479 2262 2483 2958 3247 4523 4966 5539 6409 6494 7449 9046 9741 11078 12818 13569 14898 16617 19227 19482 27138 33234 38454 42211 58799 72007 76891 84422 94163 117598 126633 131167 144014 153782 176397 188326 216021 230673 253266 262334 282489 352794 393501 432042 461346 564978 787002 863893 999583 1224119 1705171 1727786 1999166 2229839 2448238 2591679 2998749 3410342 3672357 4459678 5115513 5183358 5997498 6689517 7344714 10231026 11230609 13379034 14686181 22461218 25052897 28987907 29372362 33691827 44058543 50105794 57975814 67383654 75158691 86963721 88117086 150317382 173927442 190920353 325687661 381840706 425899249 572761059 651375322 851798498 977062983 1145522118 1277697747 1954125966 2555395494 5536690237 11073380474 16610070711 33220141422