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2268000 = 2534537
BaseRepresentation
bin1000101001101101100000
311021020010000
420221231200
51040034000
6120340000
725164150
oct10515540
94236100
102268000
111309a89
12914600
13615417
14430760
152ec000
hex229b60

2268000 has 240 divisors, whose sum is σ = 9513504. Its totient is φ = 518400.

The previous prime is 2267983. The next prime is 2268001. The reversal of 2268000 is 8622.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2268001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 323997 + ... + 324003.

22268000 is an apocalyptic number.

2268000 is a gapful number since it is divisible by the number (20) 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 2268000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4756752).

2268000 is an abundant number, since it is smaller than the sum of its proper divisors (7245504).

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

2268000 is an equidigital number, since it uses as much as digits as its factorization.

2268000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2268000 is about 1505.9880477613. The cubic root of 2268000 is about 131.3855741966.

The spelling of 2268000 in words is "two million, two hundred sixty-eight thousand".