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226407328140 = 223575310171039
BaseRepresentation
bin1101001011011011101…
…1011010100110001100
3210122101201022221120210
43102312323122212030
512202140234000030
6252002102442420
722233404351610
oct3226673324614
9718351287523
10226407328140
1188023041734
1237a67433410
131847229b826
14ad5b327340
155d51987bb0
hex34b6eda98c

226407328140 has 96 divisors (see below), whose sum is σ = 738173399040. Its totient is φ = 50773821696.

The previous prime is 226407328019. The next prime is 226407328153. The reversal of 226407328140 is 41823704622.

It is a happy number.

It is a super-3 number, since 3×2264073281403 (a number of 35 digits) contains 333 as substring.

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, 5063260 + ... + 5107779.

It is an arithmetic number, because the mean of its divisors is an integer number (7689306240).

Almost surely, 2226407328140 is an apocalyptic number.

226407328140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226407328140 is an abundant number, since it is smaller than the sum of its proper divisors (511766070900).

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

226407328140 is a wasteful number, since it uses less digits than its factorization.

226407328140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10171111 (or 10171109 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The spelling of 226407328140 in words is "two hundred twenty-six billion, four hundred seven million, three hundred twenty-eight thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 53 60 70 84 105 106 140 159 210 212 265 318 371 420 530 636 742 795 1060 1113 1484 1590 1855 2226 3180 3710 4452 5565 7420 11130 22260 10171039 20342078 30513117 40684156 50855195 61026234 71197273 101710390 122052468 142394546 152565585 203420780 213591819 284789092 305131170 355986365 427183638 539065067 610262340 711972730 854367276 1067959095 1078130134 1423945460 1617195201 2135918190 2156260268 2695325335 3234390402 3773455469 4271836380 5390650670 6468780804 7546910938 8085976005 10781301340 11320366407 15093821876 16171952010 18867277345 22640732814 32343904020 37734554690 45281465628 56601832035 75469109380 113203664070 226407328140