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226821128622 = 231121916443463
BaseRepresentation
bin1101001100111110010…
…1111100000110101110
3210200110112222012010120
43103033211330012232
512204012202103442
6252111123545410
722246560532164
oct3231745740656
9720415865116
10226821128622
1188215683100
1237b61b2b266
1318509c3279a
14ad9a281234
155d77e754ec
hex34cf97c1ae

226821128622 has 48 divisors (see below), whose sum is σ = 524875370880. Its totient is φ = 65116109520.

The previous prime is 226821128591. The next prime is 226821128663.

It is a happy number.

226821128622 is nontrivially palindromic in base 10.

226821128622 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8207938 + ... + 8235525.

It is an arithmetic number, because the mean of its divisors is an integer number (10934903560).

Almost surely, 2226821128622 is an apocalyptic number.

226821128622 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

226821128622 is an abundant number, since it is smaller than the sum of its proper divisors (298054242258).

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

226821128622 is a wasteful number, since it uses less digits than its factorization.

226821128622 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16443509 (or 16443498 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The spelling of 226821128622 in words is "two hundred twenty-six billion, eight hundred twenty-one million, one hundred twenty-eight thousand, six hundred twenty-two".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 121 209 242 363 418 627 726 1254 2299 4598 6897 13794 16443463 32886926 49330389 98660778 180878093 312425797 361756186 542634279 624851594 937277391 1085268558 1874554782 1989659023 3436683767 3979318046 5968977069 6873367534 10310051301 11937954138 20620102602 37803521437 75607042874 113410564311 226821128622