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220174516872 = 2334184332
BaseRepresentation
bin1100110100001101101…
…1001000001010001000
3210001022100012022220000
43031003123020022020
512101404134014442
6245051412003000
721623062341312
oct3150333101210
9701270168800
10220174516872
1185414858342
1236808000460
13179babcb01b
14a9296347b2
155ad96b3d4c
hex33436c8288

220174516872 has 60 divisors (see below), whose sum is σ = 616725970245. Its totient is φ = 73387524096.

The previous prime is 220174516819. The next prime is 220174516921. The reversal of 220174516872 is 278615471022.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 219310509636 + 864007236 = 468306^2 + 29394^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=331794.

It is a super-2 number, since 2×2201745168722 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 11935368 + ... + 11953800.

Almost surely, 2220174516872 is an apocalyptic number.

It is an amenable number.

220174516872 is an abundant number, since it is smaller than the sum of its proper divisors (396551453373).

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

220174516872 is an frugal number, since it uses more digits than its factorization.

220174516872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36884 (or 18438 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

Adding to 220174516872 its reverse (278615471022), we get a palindrome (498789987894).

The spelling of 220174516872 in words is "two hundred twenty billion, one hundred seventy-four million, five hundred sixteen thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 18433 36866 55299 73732 110598 147464 165897 221196 331794 442392 497691 663588 995382 1327176 1493073 1990764 2986146 3981528 5972292 11944584 339775489 679550978 1019326467 1359101956 2038652934 2718203912 3057979401 4077305868 6115958802 8154611736 9173938203 12231917604 18347876406 24463835208 27521814609 36695752812 55043629218 73391505624 110087258436 220174516872