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20213422204224 = 263415348448339
BaseRepresentation
bin1001001100010010011011…
…10110011010010101000000
32122120101101010222210221010
410212021031312122111000
510122134042041013344
6110553530140400520
74154241305564424
oct446111566322500
978511333883833
1020213422204224
1164935119649a7
1223255b6246140
13b3816b2bb992
144dc498bacb84
15250be68598b9
hex12624dd9a540

20213422204224 has 112 divisors (see below), whose sum is σ = 55819464240960. Its totient is φ = 6449442754560.

The previous prime is 20213422204219. The next prime is 20213422204247. The reversal of 20213422204224 is 42240222431202.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 20213422204191 and 20213422204200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23806954 + ... + 24641385.

It is an arithmetic number, because the mean of its divisors is an integer number (498388073580).

Almost surely, 220213422204224 is an apocalyptic number.

20213422204224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20213422204224 is an abundant number, since it is smaller than the sum of its proper divisors (35606042036736).

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

20213422204224 is a wasteful number, since it uses less digits than its factorization.

20213422204224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48448448 (or 48448438 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 20213422204224 its reverse (42240222431202), we get a palindrome (62453644635426).

The spelling of 20213422204224 in words is "twenty trillion, two hundred thirteen billion, four hundred twenty-two million, two hundred four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 53 64 82 96 106 123 159 164 192 212 246 318 328 424 492 636 656 848 984 1272 1312 1696 1968 2173 2544 2624 3392 3936 4346 5088 6519 7872 8692 10176 13038 17384 26076 34768 52152 69536 104304 139072 208608 417216 48448339 96896678 145345017 193793356 290690034 387586712 581380068 775173424 1162760136 1550346848 1986381899 2325520272 2567761967 3100693696 3972763798 4651040544 5135523934 5959145697 7703285901 7945527596 9302081088 10271047868 11918291394 15406571802 15891055192 20542095736 23836582788 30813143604 31782110384 41084191472 47673165576 61626287208 63564220768 82168382944 95346331152 105278240647 123252574416 127128441536 164336765888 190692662304 210556481294 246505148832 315834721941 381385324608 421112962588 493010297664 631669443882 842225925176 1263338887764 1684451850352 2526677775528 3368903700704 5053355551056 6737807401408 10106711102112 20213422204224