Search a number
-
+
226457662266 = 2321143175315173
BaseRepresentation
bin1101001011100111101…
…1011011001100111010
3210122112020001012000200
43102321323123030322
512202241130143031
6252011101343030
722234555240413
oct3227173331472
9718466035020
10226457662266
11880494a0490
1237a80267a76
131847c843034
14ad63caa80a
155d560cb8e6
hex34b9edb33a

226457662266 has 96 divisors (see below), whose sum is σ = 548060116032. Its totient is φ = 66984986880.

The previous prime is 226457662253. The next prime is 226457662313. The reversal of 226457662266 is 662266754622.

226457662266 is a `hidden beast` number, since 2 + 2 + 6 + 4 + 5 + 7 + 6 + 622 + 6 + 6 = 666.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 14917456 + ... + 14932628.

It is an arithmetic number, because the mean of its divisors is an integer number (5708959542).

Almost surely, 2226457662266 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226457662266, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274030058016).

226457662266 is an abundant number, since it is smaller than the sum of its proper divisors (321602453766).

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

226457662266 is a wasteful number, since it uses less digits than its factorization.

226457662266 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16988 (or 16985 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 54.

The spelling of 226457662266 in words is "two hundred twenty-six billion, four hundred fifty-seven million, six hundred sixty-two thousand, two hundred sixty-six".

Divisors: 1 2 3 6 9 11 18 22 33 43 66 86 99 129 198 258 387 473 774 946 1419 1753 2838 3506 4257 5259 8514 10518 15173 15777 19283 30346 31554 38566 45519 57849 75379 91038 115698 136557 150758 166903 173547 226137 273114 333806 347094 452274 500709 652439 678411 829169 1001418 1304878 1356822 1502127 1658338 1957317 2487507 3004254 3914634 4975014 5871951 7176829 7462521 11743902 14353658 14925042 21530487 26598269 43060974 53196538 64591461 79794807 129182922 159589614 239384421 292580959 478768842 585161918 877742877 1143725567 1755485754 2287451134 2633228631 3431176701 5266457262 6862353402 10293530103 12580981237 20587060206 25161962474 37742943711 75485887422 113228831133 226457662266