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20221433433140 = 225612530351239
BaseRepresentation
bin1001001100100001010110…
…10110110100110000110100
32122121011001110112102000012
410212100223112310300310
510122301443424330030
6111001333121035352
74154643654113102
oct446205326646064
978534043472005
1020221433433140
116496953001845
122327071185b58
13b38b46c63b14
144dca18b5ac72
15251014d22095
hex12642b5b4c34

20221433433140 has 72 divisors (see below), whose sum is σ = 43181554066560. Its totient is φ = 7954318289280.

The previous prime is 20221433433037. The next prime is 20221433433197. The reversal of 20221433433140 is 4133433412202.

It is a junction number, because it is equal to n+sod(n) for n = 20221433433097 and 20221433433106.

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, 394623641 + ... + 394674879.

It is an arithmetic number, because the mean of its divisors is an integer number (599743806480).

Almost surely, 220221433433140 is an apocalyptic number.

20221433433140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20221433433140 is an abundant number, since it is smaller than the sum of its proper divisors (22960120633420).

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

20221433433140 is a wasteful number, since it uses less digits than its factorization.

20221433433140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56673 (or 56610 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 20221433433140 its reverse (4133433412202), we get a palindrome (24354866845342).

The spelling of 20221433433140 in words is "twenty trillion, two hundred twenty-one billion, four hundred thirty-three million, four hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 61 122 244 305 610 1220 3721 5303 7442 10606 14884 18605 21212 26515 37210 51239 53030 74420 102478 106060 204956 256195 323483 512390 646966 1024780 1293932 1617415 3125579 3234830 6251158 6469660 12502316 15627895 19732463 31255790 39464926 62511580 78929852 98662315 190660319 197324630 271720417 381320638 394649260 543440834 762641276 953301595 1086881668 1358602085 1906603190 2717204170 3813206380 5434408340 16574945437 33149890874 66299781748 82874727185 165749454370 331498908740 1011071671657 2022143343314 4044286686628 5055358358285 10110716716570 20221433433140