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6228045824 = 21273111331
BaseRepresentation
bin1011100110011100…
…00111000000000000
3121002001011111201212
411303032013000000
5100223334431244
62510000345252
7310223342000
oct56316070000
917061144655
106228045824
11270662a010
121259915228
137833c2720
14431212000
15266b81d9e
hex173387000

6228045824 has 416 divisors, whose sum is σ = 17613926400. Its totient is φ = 2167603200.

The previous prime is 6228045821. The next prime is 6228045871. The reversal of 6228045824 is 4285408226.

It is a tau number, because it is divible by the number of its divisors (416).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6228045821) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 200904689 + ... + 200904719.

Almost surely, 26228045824 is an apocalyptic number.

6228045824 is a gapful number since it is divisible by the number (64) 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 6228045824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8806963200).

6228045824 is an abundant number, since it is smaller than the sum of its proper divisors (11385880576).

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

6228045824 is a wasteful number, since it uses less digits than its factorization.

6228045824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 41.

The square root of 6228045824 is about 78917.9689551119. The cubic root of 6228045824 is about 1839.8564223191.

The spelling of 6228045824 in words is "six billion, two hundred twenty-eight million, forty-five thousand, eight hundred twenty-four".