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226105605 = 325111929829
BaseRepresentation
bin11010111101000…
…01100100000101
3120202110100120200
431132201210011
5430340334410
634234121113
75413603005
oct1536414405
9522410520
10226105605
111066a3540
1263880199
1337ac77cb
142205a005
1514cb43c0
hexd7a1905

226105605 has 96 divisors (see below), whose sum is σ = 466128000. Its totient is φ = 100154880.

The previous prime is 226105603. The next prime is 226105619. The reversal of 226105605 is 506501622.

It is not a de Polignac number, because 226105605 - 21 = 226105603 is a prime.

It is a super-2 number, since 2×2261056052 = 102247489224832050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226105603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 272331 + ... + 273159.

It is an arithmetic number, because the mean of its divisors is an integer number (4855500).

Almost surely, 2226105605 is an apocalyptic number.

It is an amenable number.

226105605 is an abundant number, since it is smaller than the sum of its proper divisors (240022395).

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

226105605 is a wasteful number, since it uses less digits than its factorization.

226105605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 226105605 is about 15036.8083382079. The cubic root of 226105605 is about 609.2147963874.

The spelling of 226105605 in words is "two hundred twenty-six million, one hundred five thousand, six hundred five".

Divisors: 1 3 5 9 11 15 19 29 33 45 55 57 87 95 99 145 165 171 209 261 285 319 435 495 551 627 829 855 957 1045 1305 1595 1653 1881 2487 2755 2871 3135 4145 4785 4959 6061 7461 8265 9119 9405 12435 14355 15751 18183 24041 24795 27357 30305 37305 45595 47253 54549 72123 78755 82071 90915 120205 136785 141759 173261 216369 236265 264451 272745 360615 410355 456779 519783 708795 793353 866305 1081845 1322255 1370337 1559349 2283895 2380059 2598915 3966765 4111011 5024569 6851685 7796745 11900295 15073707 20555055 25122845 45221121 75368535 226105605