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226465260 = 22357277029
BaseRepresentation
bin11010111111110…
…01010111101100
3120210010121221020
431133321113230
5430433342020
634245534140
75416631400
oct1537712754
9523117836
10226465260
1110691977a
1263a14350
1337bc2418
1422111100
1514d35c40
hexd7f95ec

226465260 has 72 divisors (see below), whose sum is σ = 737639280. Its totient is φ = 51762816.

The previous prime is 226465241. The next prime is 226465277. The reversal of 226465260 is 62564622.

226465260 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 14.

It is a zygodrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35575 + ... + 41454.

It is an arithmetic number, because the mean of its divisors is an integer number (10244990).

Almost surely, 2226465260 is an apocalyptic number.

226465260 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226465260 is an abundant number, since it is smaller than the sum of its proper divisors (511174020).

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

226465260 is a wasteful number, since it uses less digits than its factorization.

226465260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77055 (or 77046 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 226465260 is about 15048.7627398401. The cubic root of 226465260 is about 609.5376412160.

The spelling of 226465260 in words is "two hundred twenty-six million, four hundred sixty-five thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 2940 77029 154058 231087 308116 385145 462174 539203 770290 924348 1078406 1155435 1540580 1617609 2156812 2310870 2696015 3235218 3774421 4621740 5392030 6470436 7548842 8088045 10784060 11323263 15097684 16176090 18872105 22646526 32352180 37744210 45293052 56616315 75488420 113232630 226465260