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2406222468 = 2232135141501
BaseRepresentation
bin1000111101101100…
…0000101010000100
320012200201202200200
42033123000222010
514411443104333
61034433410500
7113425360566
oct21733005204
96180652620
102406222468
111025282611
12571a09a30
132c4686ca0
1418b7dd336
15e13a4c13
hex8f6c0a84

2406222468 has 36 divisors (see below), whose sum is σ = 6550273548. Its totient is φ = 740376000.

The previous prime is 2406222451. The next prime is 2406222503. The reversal of 2406222468 is 8642226042.

2406222468 is a `hidden beast` number, since 2 + 4 + 0 + 622 + 24 + 6 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 953697924 + 1452524544 = 30882^2 + 38112^2 .

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

It is a super-2 number, since 2×24062224682 = 11579813131016022048, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2570283 + ... + 2571218.

It is an arithmetic number, because the mean of its divisors is an integer number (181952043).

Almost surely, 22406222468 is an apocalyptic number.

It is an amenable number.

2406222468 is an abundant number, since it is smaller than the sum of its proper divisors (4144051080).

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

2406222468 is a wasteful number, since it uses less digits than its factorization.

2406222468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5141524 (or 5141519 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 2406222468 is about 49053.2615429392. The cubic root of 2406222468 is about 1340.0219919165.

The spelling of 2406222468 in words is "two billion, four hundred six million, two hundred twenty-two thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 5141501 10283002 15424503 20566004 30849006 46273509 61698012 66839513 92547018 133679026 185094036 200518539 267358052 401037078 601555617 802074156 1203111234 2406222468