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20022406272 = 27321123792
BaseRepresentation
bin10010101001011011…
…011010110010000000
31220200101200121212200
4102221123122302000
5312001214000042
613110445353200
71306113434211
oct225133326200
956611617780
1020022406272
118545143200
123a69568800
131b7122139b
14d7d279408
157c2be4c4c
hex4a96dac80

20022406272 has 216 divisors, whose sum is σ = 63498138795. Its totient is φ = 6051386880.

The previous prime is 20022406231. The next prime is 20022406279. The reversal of 20022406272 is 27260422002.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 10011203136 + 10011203136 = 100056^2 + 100056^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=100056.

It is not an unprimeable number, because it can be changed into a prime (20022406279) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 52829379 + ... + 52829757.

Almost surely, 220022406272 is an apocalyptic number.

20022406272 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20022406272

20022406272 is an abundant number, since it is smaller than the sum of its proper divisors (43475732523).

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

20022406272 is an equidigital number, since it uses as much as digits as its factorization.

20022406272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

Adding to 20022406272 its reverse (27260422002), we get a palindrome (47282828274).

The spelling of 20022406272 in words is "twenty billion, twenty-two million, four hundred six thousand, two hundred seventy-two".