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226359840096 = 25321360459359
BaseRepresentation
bin1101001011010000011…
…0010000110101100000
3210122021101222022020100
43102310012100311200
512202041104340341
6251553244542400
722232256615525
oct3226406206540
9718241868210
10226359840096
1187aa9257215
1237a53551a00
13184654b28b0
14ad54cc514c
155d4c7073b6
hex34b4190d60

226359840096 has 72 divisors (see below), whose sum is σ = 693227021760. Its totient is φ = 69649180416.

The previous prime is 226359840043. The next prime is 226359840169. The reversal of 226359840096 is 690048953622.

It is a happy number.

226359840096 is a `hidden beast` number, since 2 + 2 + 6 + 3 + 598 + 40 + 0 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30225936 + ... + 30233423.

It is an arithmetic number, because the mean of its divisors is an integer number (9628153080).

Almost surely, 2226359840096 is an apocalyptic number.

226359840096 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

226359840096 is an abundant number, since it is smaller than the sum of its proper divisors (466867181664).

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

226359840096 is a wasteful number, since it uses less digits than its factorization.

226359840096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60459388 (or 60459377 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 226359840096 in words is "two hundred twenty-six billion, three hundred fifty-nine million, eight hundred forty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 60459359 120918718 181378077 241837436 362756154 483674872 544134231 725512308 785971667 967349744 1088268462 1451024616 1571943334 1934699488 2176536924 2357915001 2902049232 3143886668 4353073848 4715830002 5804098464 6287773336 7073745003 8706147696 9431660004 12575546672 14147490006 17412295392 18863320008 25151093344 28294980012 37726640016 56589960024 75453280032 113179920048 226359840096