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22200043114424 = 23735322880169
BaseRepresentation
bin1010000110000110110011…
…01011110000111110111000
32220121022012011201110222202
411003003121223300332320
510402211142014130144
6115114320425205332
74450620522653000
oct503033153607670
986538164643882
1022200043114424
117089a9264757a
1225a6625630848
13c505bba81566
1456a6b8813000
15287719ea264e
hex1430d9af0fb8

22200043114424 has 96 divisors (see below), whose sum is σ = 49475560260000. Its totient is φ = 9334785777408.

The previous prime is 22200043114391. The next prime is 22200043114453. The reversal of 22200043114424 is 42441134000222.

It is a happy number.

It is a super-3 number, since 3×222000431144243 (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6267812 + ... + 9147980.

It is an arithmetic number, because the mean of its divisors is an integer number (515370419375).

Almost surely, 222200043114424 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 22200043114424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24737780130000).

22200043114424 is an abundant number, since it is smaller than the sum of its proper divisors (27275517145576).

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

22200043114424 is an equidigital number, since it uses as much as digits as its factorization.

22200043114424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2880302 (or 2880231 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 22200043114424 its reverse (42441134000222), we get a palindrome (64641177114646).

The spelling of 22200043114424 in words is "twenty-two trillion, two hundred billion, forty-three million, one hundred fourteen thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 49 53 56 98 106 196 212 343 371 392 424 686 742 1372 1484 2597 2744 2809 2968 5194 5618 10388 11236 18179 19663 20776 22472 36358 39326 72716 78652 137641 145432 157304 275282 550564 963487 1101128 1926974 2880169 3853948 5760338 7707896 11520676 20161183 23041352 40322366 80644732 141128281 152648957 161289464 282256562 305297914 564513124 610595828 987897967 1068542699 1129026248 1221191656 1975795934 2137085398 3951591868 4274170796 7479798893 7903183736 8090394721 8548341592 14959597786 16180789442 29919195572 32361578884 52358592251 56632763047 59838391144 64723157768 104717184502 113265526094 209434369004 226531052188 396429341329 418868738008 453062104376 792858682658 1585717365316 2775005389303 3171434730632 5550010778606 11100021557212 22200043114424