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856229220 = 22325711163379
BaseRepresentation
bin110011000010010…
…000010101100100
32012200010221200100
4303002100111210
53223143313340
6220543544100
730134554050
oct6302202544
92180127610
10856229220
113aa356760
121ba8bb030
1310850c712
1481a04c60
1550282830
hex33090564

856229220 has 288 divisors, whose sum is σ = 3266565120. Its totient is φ = 176359680.

The previous prime is 856229219. The next prime is 856229237. The reversal of 856229220 is 22922658.

856229220 is a `hidden beast` number, since 8 + 5 + 622 + 9 + 2 + 20 = 666.

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 (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2258991 + ... + 2259369.

It is an arithmetic number, because the mean of its divisors is an integer number (11342240).

Almost surely, 2856229220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 856229220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1633282560).

856229220 is an abundant number, since it is smaller than the sum of its proper divisors (2410335900).

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

856229220 is a wasteful number, since it uses less digits than its factorization.

856229220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 856229220 is about 29261.3947036022. The cubic root of 856229220 is about 949.5766239044.

The spelling of 856229220 in words is "eight hundred fifty-six million, two hundred twenty-nine thousand, two hundred twenty".