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8428223232 = 283311138527
BaseRepresentation
bin1111101100101110…
…00111101100000000
3210202101012002202000
413312113013230000
5114230111120412
63512154024000
7415600500252
oct76627075400
923671162660
108428223232
11363556a950
121772718000
13a44186a50
1459d4d7cd2
15344dd64dc
hex1f65c7b00

8428223232 has 288 divisors, whose sum is σ = 29284469760. Its totient is φ = 2357268480.

The previous prime is 8428223207. The next prime is 8428223257. The reversal of 8428223232 is 2323228248.

8428223232 is a `hidden beast` number, since 8 + 428 + 223 + 2 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (8428223207) and next prime (8428223257).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 984153 + ... + 992679.

Almost surely, 28428223232 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 8428223232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14642234880).

8428223232 is an abundant number, since it is smaller than the sum of its proper divisors (20856246528).

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

8428223232 is a wasteful number, since it uses less digits than its factorization.

8428223232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8576 (or 8556 counting only the distinct ones).

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

The square root of 8428223232 is about 91805.3551379221. The cubic root of 8428223232 is about 2035.0668344696.

The spelling of 8428223232 in words is "eight billion, four hundred twenty-eight million, two hundred twenty-three thousand, two hundred thirty-two".