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226726577334768 = 2437296397354309
BaseRepresentation
bin110011100011010011100101…
…000110100110100111110000
31002201202211221000002000012110
4303203103211012212213300
5214204142012244203033
62122112430212325320
765520311642316300
oct6343234506464760
91081684830060173
10226726577334768
1166273224179405
1221519168013840
1399682bc304314
143ddb8a69d3600
151b32a2a35b363
hexce34e51a69f0

226726577334768 has 60 divisors (see below), whose sum is σ = 681336500263080. Its totient is φ = 64779022094976.

The previous prime is 226726577334739. The next prime is 226726577334791. The reversal of 226726577334768 is 867433775627622.

226726577334768 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2267265773347682 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 226726577334768.

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, 48198674803 + ... + 48198679506.

It is an arithmetic number, because the mean of its divisors is an integer number (11355608337718).

Almost surely, 2226726577334768 is an apocalyptic number.

226726577334768 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

226726577334768 is an abundant number, since it is smaller than the sum of its proper divisors (454609922928312).

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

226726577334768 is a wasteful number, since it uses less digits than its factorization.

226726577334768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96397354334 (or 96397354321 counting only the distinct ones).

The product of its digits is 5974456320, while the sum is 75.

The spelling of 226726577334768 in words is "two hundred twenty-six trillion, seven hundred twenty-six billion, five hundred seventy-seven million, three hundred thirty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 1176 2352 96397354309 192794708618 289192062927 385589417236 578384125854 674781480163 771178834472 1156768251708 1349562960326 1542357668944 2024344440489 2313536503416 2699125920652 4048688880978 4627073006832 4723470361141 5398251841304 8097377761956 9446940722282 10796503682608 14170411083423 16194755523912 18893881444564 28340822166846 32389511047824 37787762889128 56681644333692 75575525778256 113363288667384 226726577334768