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20142221904 = 2432729739439
BaseRepresentation
bin10010110000100100…
…011110101001010000
31220222202010220000200
4102300210132221100
5312222402100104
613130405415200
71312100030010
oct226044365120
956882126020
1020142221904
1185a6839492
123aa170a500
131b8ccb23cc
14d91147c40
157cd4b0b39
hex4b091ea50

20142221904 has 240 divisors, whose sum is σ = 67564723200. Its totient is φ = 5479778304.

The previous prime is 20142221887. The next prime is 20142221921. The reversal of 20142221904 is 40912224102.

20142221904 is a `hidden beast` number, since 20 + 1 + 422 + 219 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (20142221887) and next prime (20142221921).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2129217 + ... + 2138655.

It is an arithmetic number, because the mean of its divisors is an integer number (281519680).

Almost surely, 220142221904 is an apocalyptic number.

20142221904 is a gapful number since it is divisible by the number (24) 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 20142221904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33782361600).

20142221904 is an abundant number, since it is smaller than the sum of its proper divisors (47422501296).

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

20142221904 is a wasteful number, since it uses less digits than its factorization.

20142221904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9562 (or 9553 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 20142221904 in words is "twenty billion, one hundred forty-two million, two hundred twenty-one thousand, nine hundred four".