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2226567627636 = 223111011453114941
BaseRepresentation
bin100000011001101001110…
…001011100001101110100
321212212011022210212010020
4200121221301130031310
5242440002303041021
64422512051325140
7316602264364302
oct40315161341564
97785138725106
102226567627636
11789311419940
122bb634bb07b0
13131c6cac9a71
1479aa31c3272
153cdb8a7b7c6
hex20669c5c374

2226567627636 has 96 divisors (see below), whose sum is σ = 5727730893696. Its totient is φ = 667571520000.

The previous prime is 2226567627631. The next prime is 2226567627659. The reversal of 2226567627636 is 6367267656222.

It is a self number, because there is not a number n which added to its sum of digits gives 2226567627636.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2226567627631) 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 31 ways as a sum of consecutive naturals, for example, 19313926 + ... + 19428866.

It is an arithmetic number, because the mean of its divisors is an integer number (59663863476).

Almost surely, 22226567627636 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2226567627636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2863865446848).

2226567627636 is an abundant number, since it is smaller than the sum of its proper divisors (3501163266060).

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

2226567627636 is a wasteful number, since it uses less digits than its factorization.

2226567627636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116513 (or 116511 counting only the distinct ones).

The product of its digits is 91445760, while the sum is 60.

The spelling of 2226567627636 in words is "two trillion, two hundred twenty-six billion, five hundred sixty-seven million, six hundred twenty-seven thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 132 202 303 404 606 1111 1212 1453 2222 2906 3333 4359 4444 5812 6666 8718 13332 15983 17436 31966 47949 63932 95898 114941 146753 191796 229882 293506 344823 440259 459764 587012 689646 880518 1264351 1379292 1614283 1761036 2528702 3228566 3793053 4842849 5057404 6457132 7586106 9685698 11609041 15172212 19371396 23218082 34827123 46436164 69654246 127699451 139308492 167009273 255398902 334018546 383098353 501027819 510797804 668037092 766196706 1002055638 1532393412 1837102003 2004111276 3674204006 5511306009 7348408012 11022612018 16867936573 22045224036 33735873146 50603809719 67471746292 101207619438 185547302303 202415238876 371094604606 556641906909 742189209212 1113283813818 2226567627636