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224831575668 = 223717883178307
BaseRepresentation
bin1101000101100100000…
…0011001011001110100
3210111022220021102120010
43101121000121121310
512140423340410133
6251141452540220
722146351601230
oct3213100313164
9714286242503
10224831575668
1187394621567
12376a7781670
13182809a560b
14ac4bd455c0
155cad478263
hex3459019674

224831575668 has 96 divisors (see below), whose sum is σ = 635541064704. Its totient is φ = 60390102528.

The previous prime is 224831575649. The next prime is 224831575679. The reversal of 224831575668 is 866575138422.

224831575668 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1171771 + ... + 1350077.

It is an arithmetic number, because the mean of its divisors is an integer number (6620219424).

Almost surely, 2224831575668 is an apocalyptic number.

224831575668 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224831575668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317770532352).

224831575668 is an abundant number, since it is smaller than the sum of its proper divisors (410709489036).

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

224831575668 is a wasteful number, since it uses less digits than its factorization.

224831575668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179221 (or 179219 counting only the distinct ones).

The product of its digits is 19353600, while the sum is 57.

The spelling of 224831575668 in words is "two hundred twenty-four billion, eight hundred thirty-one million, five hundred seventy-five thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 357 476 714 883 1428 1766 2649 3532 5298 6181 10596 12362 15011 18543 24724 30022 37086 45033 60044 74172 90066 105077 178307 180132 210154 315231 356614 420308 534921 630462 713228 1069842 1248149 1260924 2139684 2496298 3031219 3744447 4992596 6062438 7488894 9093657 12124876 14977788 18187314 21218533 36374628 42437066 63655599 84874132 127311198 157445081 254622396 314890162 472335243 629780324 944670486 1102115567 1889340972 2204231134 2676566377 3306346701 4408462268 5353132754 6612693402 8029699131 10706265508 13225386804 16059398262 18735964639 32118796524 37471929278 56207893917 74943858556 112415787834 224831575668