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226401006340 = 22511320050317
BaseRepresentation
bin1101001011011010001…
…1010011001100000100
3210122101021102202201001
43102312203103030010
512202132124200330
6252001315143044
722233266541655
oct3226643231404
9718337382631
10226401006340
118801a514003
1237a652a4a84
1318470b97212
14ad5a55d52c
155d511399ca
hex34b68d3304

226401006340 has 12 divisors (see below), whose sum is σ = 475442113356. Its totient is φ = 90560402528.

The previous prime is 226401006319. The next prime is 226401006397. The reversal of 226401006340 is 43600104622.

226401006340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 72598991364 + 153802014976 = 269442^2 + 392176^2 .

It is a junction number, because it is equal to n+sod(n) for n = 226401006299 and 226401006308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5660025139 + ... + 5660025178.

It is an arithmetic number, because the mean of its divisors is an integer number (39620176113).

Almost surely, 2226401006340 is an apocalyptic number.

226401006340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226401006340 is an abundant number, since it is smaller than the sum of its proper divisors (249041107016).

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

226401006340 is a wasteful number, since it uses less digits than its factorization.

226401006340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11320050326 (or 11320050324 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The spelling of 226401006340 in words is "two hundred twenty-six billion, four hundred one million, six thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 11320050317 22640100634 45280201268 56600251585 113200503170 226401006340