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226312262213622 = 2313171251113641827
BaseRepresentation
bin110011011101010001101101…
…111111110101111111110110
31002200022020111200002010200120
4303131101231333311333312
5214130400003111313442
62121154230141352410
765445343555021224
oct6335215577657766
91080266450063616
10226312262213622
1166123545086682
12214709ba868706
139938201cc37c0
143dc5801569b14
151b26d7bd354ec
hexcdd46dff5ff6

226312262213622 has 64 divisors (see below), whose sum is σ = 516156133054464. Its totient is φ = 65533149411840.

The previous prime is 226312262213593. The next prime is 226312262213627.

226312262213622 is nontrivially palindromic in base 10.

It is a super-4 number, since 4×2263122622136224 (a number of 59 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226312262213627) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9768673 + ... + 23410499.

It is an arithmetic number, because the mean of its divisors is an integer number (8064939578976).

Almost surely, 2226312262213622 is an apocalyptic number.

226312262213622 is an abundant number, since it is smaller than the sum of its proper divisors (289843870840842).

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

226312262213622 is a wasteful number, since it uses less digits than its factorization.

226312262213622 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13654373.

The product of its digits is 497664, while the sum is 42.

The spelling of 226312262213622 in words is "two hundred twenty-six trillion, three hundred twelve billion, two hundred sixty-two million, two hundred thirteen thousand, six hundred twenty-two".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 221 442 663 1326 12511 25022 37533 75066 162643 212687 325286 425374 487929 638061 975858 1276122 2764931 5529862 8294793 13641827 16589586 27283654 40925481 81850962 177343751 231911059 354687502 463822118 532031253 695733177 1064062506 1391466354 3014843767 6029687534 9044531301 18089062602 170672897597 341345795194 512018692791 1024037385582 2218747668761 2901439259149 4437495337522 5802878518298 6656243006283 8704317777447 13312486012566 17408635554894 37718710368937 75437420737874 113156131106811 226312262213622