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422224242422224 = 241122383114243601
BaseRepresentation
bin110000000000000101011110…
…1111111000011000111010000
32001100222020120102020210201211
41200000022331333003013100
5420320210222030002344
64053555050023305504
7154635460222421164
oct14000127577030720
92040866512223654
10422224242422224
11112596328536300
123b431a785ab294
131517976299c848
147639a95d38ca4
1533c304c841334
hex18002bdfc31d0

422224242422224 has 120 divisors (see below), whose sum is σ = 949589164028736. Its totient is φ = 181363999872000.

The previous prime is 422224242422209. The next prime is 422224242422239.

422224242422224 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (422224242422209) and next prime (422224242422239).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53425977 + ... + 60817624.

Almost surely, 2422224242422224 is an apocalyptic number.

422224242422224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

422224242422224 is an abundant number, since it is smaller than the sum of its proper divisors (527364921606512).

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

422224242422224 is a wasteful number, since it uses less digits than its factorization.

422224242422224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114243737 (or 114243720 counting only the distinct ones).

The product of its digits is 1048576, while the sum is 40.

The spelling of 422224242422224 in words is "four hundred twenty-two trillion, two hundred twenty-four billion, two hundred forty-two million, four hundred twenty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 23 44 46 83 88 92 121 166 176 184 242 253 332 368 484 506 664 913 968 1012 1328 1826 1909 1936 2024 2783 3652 3818 4048 5566 7304 7636 10043 11132 14608 15272 20086 20999 22264 30544 40172 41998 44528 80344 83996 160688 167992 230989 335984 461978 923956 1847912 3695824 114243601 228487202 456974404 913948808 1256679611 1827897616 2513359222 2627602823 5026718444 5255205646 9482218883 10053436888 10510411292 13823475721 18964437766 20106873776 21020822584 27646951442 28903631053 37928875532 42041645168 55293902884 57807262106 75857751064 104304407713 110587805768 115614524212 151715502128 208608815426 218091034309 221175611536 231229048424 317939941583 417217630852 436182068618 462458096848 635879883166 834435261704 872364137236 1147348484843 1271759766332 1668870523408 1744728274472 2294696969686 2399001377399 2543519532664 3489456548944 4589393939372 4798002754798 5087039065328 9178787878744 9596005509596 18357575757488 19192011019192 26389015151389 38384022038384 52778030302778 105556060605556 211112121211112 422224242422224