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226515742266 = 231147383319051
BaseRepresentation
bin1101001011110101100…
…0111110111000111010
3210122200021022221210210
43102331120332320322
512202401012223031
6252020534251550
722236162020022
oct3227530767072
9718607287723
10226515742266
118807925a890
1237a977b6bb6
131848b89a0b8
14ad6b8a8a82
155d5b250746
hex34bd63ee3a

226515742266 has 64 divisors (see below), whose sum is σ = 504889583616. Its totient is φ = 67159632000.

The previous prime is 226515742207. The next prime is 226515742267. The reversal of 226515742266 is 662247515622.

It is not an unprimeable number, because it can be changed into a prime (226515742267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11880441 + ... + 11899491.

It is an arithmetic number, because the mean of its divisors is an integer number (7888899744).

Almost surely, 2226515742266 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226515742266, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252444791808).

226515742266 is an abundant number, since it is smaller than the sum of its proper divisors (278373841350).

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

226515742266 is a wasteful number, since it uses less digits than its factorization.

226515742266 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22947.

The product of its digits is 2419200, while the sum is 48.

The spelling of 226515742266 in words is "two hundred twenty-six billion, five hundred fifteen million, seven hundred forty-two thousand, two hundred sixty-six".

Divisors: 1 2 3 6 11 22 33 47 66 94 141 282 517 1034 1551 3102 3833 7666 11499 19051 22998 38102 42163 57153 84326 114306 126489 180151 209561 252978 360302 419122 540453 628683 895397 1080906 1257366 1790794 1981661 2686191 3963322 5372382 5944983 9849367 11889966 19698734 29548101 59096202 73022483 146044966 219067449 438134898 803247313 1606494626 2409741939 3432056701 4819483878 6864113402 10296170103 20592340206 37752623711 75505247422 113257871133 226515742266