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226468864622 = 2711137313711311
BaseRepresentation
bin1101001011101010011…
…0001010001001101110
3210122120000010022202202
43102322212022021232
512202302012131442
6252012141421502
722235052405350
oct3227246121156
9718500108682
10226468864622
1188054851a30
1237a83b6a892
1318481c65c50
14ad655850d0
155d57090c32
hex34ba98a26e

226468864622 has 128 divisors (see below), whose sum is σ = 465769156608. Its totient is φ = 79738214400.

The previous prime is 226468864621. The next prime is 226468864627.

It is a happy number.

226468864622 is nontrivially palindromic in base 10.

226468864622 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226468864621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20016347 + ... + 20027657.

It is an arithmetic number, because the mean of its divisors is an integer number (3638821536).

Almost surely, 2226468864622 is an apocalyptic number.

226468864622 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

226468864622 is an abundant number, since it is smaller than the sum of its proper divisors (239300291986).

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

226468864622 is a wasteful number, since it uses less digits than its factorization.

226468864622 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11554.

The product of its digits is 21233664, while the sum is 56.

It can be divided in two parts, 2264 and 68864622, that added together give a palindrome (68866886).

The spelling of 226468864622 in words is "two hundred twenty-six billion, four hundred sixty-eight million, eight hundred sixty-four thousand, six hundred twenty-two".

Divisors: 1 2 7 11 13 14 22 26 73 77 91 137 143 146 154 182 274 286 511 803 949 959 1001 1022 1507 1606 1781 1898 1918 2002 3014 3562 5621 6643 10001 10439 10549 11242 11311 12467 13286 19591 20002 20878 21098 22622 24934 39182 70007 73073 79177 110011 124421 130013 137137 140014 146146 147043 158354 220022 248842 260026 274274 294086 770077 825703 870947 910091 1029301 1430143 1540154 1549607 1617473 1651406 1741894 1820182 2058602 2860286 3099214 3234946 5779921 9082733 10011001 10734139 10847249 11322311 11559842 17045677 18165466 20022002 20144891 21468278 21694498 22644622 34091354 40289782 63579131 75138973 113121311 118075529 119319739 127158262 141014237 150277946 221593801 226242622 236151058 238639478 282028474 443187602 791849177 826528703 1244334421 1470577043 1551156607 1583698354 1653057406 2488668842 2941154086 3102313214 8710340947 10294039301 16176347473 17420681894 20588078602 32352694946 113234432311 226468864622