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2268000000 = 2834567
BaseRepresentation
bin1000011100101110…
…1110111100000000
312212001122100010000
42013023232330000
514121102000000
61013015040000
7110126452620
oct20713567400
95761570100
102268000000
11a64254a72
12533670000
132a1b4ca46
141772dc880
15d41a0000
hex872eef00

2268000000 has 630 divisors, whose sum is σ = 9660970088. Its totient is φ = 518400000.

The previous prime is 2267999969. The next prime is 2268000043. The reversal of 2268000000 is 8622.

It is a tau number, because it is divible by the number of its divisors (630).

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 an unprimeable number.

It is a polite number, since it can be written in 69 ways as a sum of consecutive naturals, for example, 323999997 + ... + 324000003.

Almost surely, 22268000000 is an apocalyptic number.

2268000000 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 2268000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4830485044).

2268000000 is an abundant number, since it is smaller than the sum of its proper divisors (7392970088).

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

2268000000 is an frugal number, since it uses more digits than its factorization.

2268000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 17 counting only the distinct ones).

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

The square root of 2268000000 is about 47623.5235991626. The cubic root of 2268000000 is about 1313.8557419664.

Adding to 2268000000 its reverse (8622), we get a palindrome (2268008622).

The spelling of 2268000000 in words is "two billion, two hundred sixty-eight million", and thus it is an aban number.