Search a number
-
+
1222233445566 = 2327113199942943
BaseRepresentation
bin10001110010010010110…
…010100101010010111110
311022211210112212011120100
4101302102302211102332
5130011113230224231
62333253012301530
7154206040605030
oct21622262452276
94284715764510
101222233445566
11431389a098a1
12178a636118a6
138b343904363
14432292b5c50
1521bd6a7d1e6
hex11c92ca54be

1222233445566 has 96 divisors (see below), whose sum is σ = 3054864384000. Its totient is φ = 345938003712.

The previous prime is 1222233445553. The next prime is 1222233445567. The reversal of 1222233445566 is 6655443322221.

1222233445566 is a `hidden beast` number, since 1 + 2 + 2 + 22 + 33 + 44 + 556 + 6 = 666.

It is a plaindrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1222233445567) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28440291 + ... + 28483233.

It is an arithmetic number, because the mean of its divisors is an integer number (31821504000).

Almost surely, 21222233445566 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1222233445566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1527432192000).

1222233445566 is an abundant number, since it is smaller than the sum of its proper divisors (1832630938434).

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

1222233445566 is a wasteful number, since it uses less digits than its factorization.

1222233445566 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45070 (or 45067 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 45.

Adding to 1222233445566 its reverse (6655443322221), we get a palindrome (7877676767787).

The spelling of 1222233445566 in words is "one trillion, two hundred twenty-two billion, two hundred thirty-three million, four hundred forty-five thousand, five hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 113 126 226 339 678 791 1017 1582 1999 2034 2373 3998 4746 5997 7119 11994 13993 14238 17991 27986 35982 41979 42943 83958 85886 125937 128829 225887 251874 257658 300601 386487 451774 601202 677661 772974 901803 1355322 1581209 1803606 2032983 2705409 3162418 4065966 4743627 4852559 5410818 9487254 9705118 14230881 14557677 28461762 29115354 33967913 43673031 67935826 85843057 87346062 101903739 171686114 203807478 257529171 305711217 515058342 600901399 611422434 772587513 1201802798 1545175026 1802704197 3605408394 5408112591 9700265441 10816225182 19400530882 29100796323 58201592646 67901858087 87302388969 135803716174 174604777938 203705574261 407411148522 611116722783 1222233445566