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22220404466004 = 22321570373930497
BaseRepresentation
bin1010000110101100101110…
…10100001010000101010100
32220200020202012012022102100
411003112113110022011110
510403024342020403004
6115131525103442100
74452241223413023
oct503262724120524
986606665168370
1022220404466004
117097691044368
1225aa5685b6330
13c524b52881a4
1456b68aabc8ba
1528800c7ea739
hex14359750a154

22220404466004 has 36 divisors (see below), whose sum is σ = 56168616588084. Its totient is φ = 7406752438272.

The previous prime is 22220404466003. The next prime is 22220404466041. The reversal of 22220404466004 is 40066440402222.

22220404466004 is a `hidden beast` number, since 2 + 2 + 2 + 2 + 0 + 4 + 0 + 4 + 46 + 600 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 18555400529604 + 3665003936400 = 4307598^2 + 1914420^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 22220404466004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22220404466003) 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 11 ways as a sum of consecutive naturals, for example, 3688084 + ... + 7618580.

It is an arithmetic number, because the mean of its divisors is an integer number (1560239349669).

Almost surely, 222220404466004 is an apocalyptic number.

It is an amenable number.

22220404466004 is an abundant number, since it is smaller than the sum of its proper divisors (33948212122080).

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

22220404466004 is a wasteful number, since it uses less digits than its factorization.

22220404466004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4087544 (or 4087539 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 22220404466004 its reverse (40066440402222), we get a palindrome (62286844868226).

The spelling of 22220404466004 in words is "twenty-two trillion, two hundred twenty billion, four hundred four million, four hundred sixty-six thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 157037 314074 471111 628148 942222 1413333 1884444 2826666 3930497 5653332 7860994 11791491 15721988 23582982 35374473 47165964 70748946 141497892 617233457389 1234466914778 1851700372167 2468933829556 3703400744334 5555101116501 7406801488668 11110202233002 22220404466004