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226683135 = 32572393011
BaseRepresentation
bin11011000001011…
…10100011111111
3120210112200210200
431200232203333
5431012330020
634254334543
75421526530
oct1540564377
9523480720
10226683135
11106a58438
1263aba453
1337c6a643
142216a687
1514d7a590
hexd82e8ff

226683135 has 48 divisors (see below), whose sum is σ = 451077120. Its totient is φ = 103158720.

The previous prime is 226683131. The next prime is 226683139. The reversal of 226683135 is 531386622.

It is a happy number.

It is a Cunningham number, because it is equal to 150562-1.

It is an interprime number because it is at equal distance from previous prime (226683131) and next prime (226683139).

It is not a de Polignac number, because 226683135 - 22 = 226683131 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 226683135.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226683131) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 73780 + ... + 76790.

It is an arithmetic number, because the mean of its divisors is an integer number (9397440).

Almost surely, 2226683135 is an apocalyptic number.

226683135 is a deficient number, since it is larger than the sum of its proper divisors (224393985).

226683135 is a wasteful number, since it uses less digits than its factorization.

226683135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3268 (or 3265 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 226683135 is about 15055.9999667906. Note that the first 4 decimals coincide. The cubic root of 226683135 is about 609.7330508016.

The spelling of 226683135 in words is "two hundred twenty-six million, six hundred eighty-three thousand, one hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 239 315 717 1195 1673 2151 3011 3585 5019 8365 9033 10755 15055 15057 21077 25095 27099 45165 63231 75285 105385 135495 189693 316155 719629 948465 2158887 3598145 5037403 6476661 10794435 15112209 25187015 32383305 45336627 75561045 226683135