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6228505008 = 243211332497
BaseRepresentation
bin1011100110011111…
…10111000110110000
3121002002000211121200
411303033313012300
5100223444130013
62510014251200
7310230263505
oct56317670660
917062024550
106228505008
112706913000
121259ab6b00
1378352372b
144312d14ac
15266c22e73
hex1733f71b0

6228505008 has 120 divisors (see below), whose sum is σ = 19173560016. Its totient is φ = 1887367680.

The previous prime is 6228504983. The next prime is 6228505057. The reversal of 6228505008 is 8005058226.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 175416 + ... + 207912.

Almost surely, 26228505008 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 6228505008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9586780008).

6228505008 is an abundant number, since it is smaller than the sum of its proper divisors (12945055008).

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

6228505008 is a wasteful number, since it uses less digits than its factorization.

6228505008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32544 (or 32513 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 6228505008 is about 78920.8781502081. The cubic root of 6228505008 is about 1839.9016377790.

The spelling of 6228505008 in words is "six billion, two hundred twenty-eight million, five hundred five thousand, eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 121 132 144 176 198 242 264 363 396 484 528 726 792 968 1089 1331 1452 1584 1936 2178 2662 2904 3993 4356 5324 5808 7986 8712 10648 11979 15972 17424 21296 23958 31944 32497 47916 63888 64994 95832 97491 129988 191664 194982 259976 292473 357467 389964 519952 584946 714934 779928 1072401 1169892 1429868 1559856 2144802 2339784 2859736 3217203 3932137 4289604 4679568 5719472 6434406 7864274 8579208 11796411 12868812 15728548 17158416 23592822 25737624 31457096 35389233 43253507 47185644 51475248 62914192 70778466 86507014 94371288 129760521 141556932 173014028 188742576 259521042 283113864 346028056 389281563 519042084 566227728 692056112 778563126 1038084168 1557126252 2076168336 3114252504 6228505008