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985222656 = 29331121931
BaseRepresentation
bin111010101110010…
…100111000000000
32112122212111102000
4322232110320000
54004204111111
6241432424000
733262153155
oct7256247000
92478774360
10985222656
11466150400
12235b48000
13129164cb2
1494bc222c
155b762c56
hex3ab94e00

985222656 has 480 divisors, whose sum is σ = 3483110400. Its totient is φ = 273715200.

The previous prime is 985222547. The next prime is 985222663. The reversal of 985222656 is 656222589.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 31781361 + ... + 31781391.

It is an arithmetic number, because the mean of its divisors is an integer number (7256480).

Almost surely, 2985222656 is an apocalyptic number.

985222656 is a gapful number since it is divisible by the number (96) 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 985222656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1741555200).

985222656 is an abundant number, since it is smaller than the sum of its proper divisors (2497887744).

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

985222656 is a wasteful number, since it uses less digits than its factorization.

985222656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 66 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 985222656 is about 31388.2566575463. The cubic root of 985222656 is about 995.0497541680.

The spelling of 985222656 in words is "nine hundred eighty-five million, two hundred twenty-two thousand, six hundred fifty-six".