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6228541440 = 22233511
BaseRepresentation
bin1011100110100000…
…00000000000000000
3121002002002200121000
411303100000000000
5100224001311230
62510015132000
7310230504642
oct56320000000
917062080530
106228541440
112706938410
121259b14000
137835371a4
14431300892
15266c2db60
hex173400000

6228541440 has 368 divisors, whose sum is σ = 24159188160. Its totient is φ = 1509949440.

The previous prime is 6228541367. The next prime is 6228541507. The reversal of 6228541440 is 441458226.

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

It is a junction number, because it is equal to n+sod(n) for n = 6228541395 and 6228541404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 566231035 + ... + 566231045.

Almost surely, 26228541440 is an apocalyptic number.

6228541440 is a gapful number since it is divisible by the number (60) 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 6228541440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12079594080).

6228541440 is an abundant number, since it is smaller than the sum of its proper divisors (17930646720).

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

6228541440 is an frugal number, since it uses more digits than its factorization.

6228541440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 6228541440 is about 78921.1089633186. The cubic root of 6228541440 is about 1839.9052251121.

Adding to 6228541440 its reverse (441458226), we get a palindrome (6669999666).

The spelling of 6228541440 in words is "six billion, two hundred twenty-eight million, five hundred forty-one thousand, four hundred forty".