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6228082224 = 243571329607
BaseRepresentation
bin1011100110011100…
…01111111000110000
3121002001020100200000
411303032033320300
5100223342112344
62510001230000
7310223553060
oct56316177060
917061210600
106228082224
1127066543a1
121259932300
13783406170
144312213a0
15266b8ca69
hex17338fe30

6228082224 has 480 divisors, whose sum is σ = 23051857920. Its totient is φ = 1583318016.

The previous prime is 6228082207. The next prime is 6228082271. The reversal of 6228082224 is 4222808226.

6228082224 is a `hidden beast` number, since 622 + 8 + 0 + 8 + 2 + 2 + 24 = 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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10260129 + ... + 10260735.

It is an arithmetic number, because the mean of its divisors is an integer number (48024704).

Almost surely, 26228082224 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 6228082224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11525928960).

6228082224 is an abundant number, since it is smaller than the sum of its proper divisors (16823775696).

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

6228082224 is a wasteful number, since it uses less digits than its factorization.

6228082224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 6228082224 is about 78918.1995739893. The cubic root of 6228082224 is about 1839.8600066774.

It can be divided in two parts, 622808222 and 4, that added together give a palindrome (622808226).

The spelling of 6228082224 in words is "six billion, two hundred twenty-eight million, eighty-two thousand, two hundred twenty-four".