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6226080 = 2535717109
BaseRepresentation
bin10111110000000010100000
3102201022120120
4113300002200
53043213310
6341240240
7103630560
oct27600240
912638516
106226080
113572823
122103080
13139cb93
14b80da0
1582eb70
hex5f00a0

6226080 has 192 divisors, whose sum is σ = 23950080. Its totient is φ = 1327104.

The previous prime is 6226067. The next prime is 6226127. The reversal of 6226080 is 806226.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 6226080.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57066 + ... + 57174.

It is an arithmetic number, because the mean of its divisors is an integer number (124740).

Almost surely, 26226080 is an apocalyptic number.

6226080 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 6226080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11975040).

6226080 is an abundant number, since it is smaller than the sum of its proper divisors (17724000).

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

6226080 is a wasteful number, since it uses less digits than its factorization.

6226080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 6226080 is about 2495.2114138886. The cubic root of 6226080 is about 183.9662824165.

The spelling of 6226080 in words is "six million, two hundred twenty-six thousand, eighty".