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224466114133072 = 24753351110770257
BaseRepresentation
bin110011000010011010010110…
…111111110011110001010000
31002102202202021102202120201101
4303002122112333303301100
5213410123100204224242
62113222150445114144
765165066363164240
oct6302322677636120
91072682242676641
10224466114133072
11655815a9677049
1221213053558954
1398330aa053c76
143d60309c75b20
151ae3d2abab9b7
hexcc2696ff3c50

224466114133072 has 80 divisors (see below), whose sum is σ = 506554356517632. Its totient is φ = 94357782005760.

The previous prime is 224466114133061. The next prime is 224466114133081. The reversal of 224466114133072 is 270331411664422.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15456168 + ... + 26226424.

Almost surely, 2224466114133072 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 224466114133072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253277178258816).

224466114133072 is an abundant number, since it is smaller than the sum of its proper divisors (282088242384560).

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

224466114133072 is a wasteful number, since it uses less digits than its factorization.

224466114133072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10773836 (or 10773830 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 46.

Adding to 224466114133072 its reverse (270331411664422), we get a palindrome (494797525797494).

The spelling of 224466114133072 in words is "two hundred twenty-four trillion, four hundred sixty-six billion, one hundred fourteen million, one hundred thirty-three thousand, seventy-two".

Divisors: 1 2 4 7 8 14 16 28 53 56 106 112 212 371 424 742 848 1484 2968 3511 5936 7022 14044 24577 28088 49154 56176 98308 186083 196616 372166 393232 744332 1302581 1488664 2605162 2977328 5210324 10420648 10770257 20841296 21540514 43081028 75391799 86162056 150783598 172324112 301567196 570823621 603134392 1141647242 1206268784 2283294484 3995765347 4566588968 7991530694 9133177936 15983061388 31966122776 37814372327 63932245552 75628744654 151257489308 264700606289 302514978616 529401212578 605029957232 1058802425156 2004161733331 2117604850312 4008323466662 4235209700624 8016646933324 14029132133317 16033293866648 28058264266634 32066587733296 56116528533268 112233057066536 224466114133072