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2268774360 = 23355415693
BaseRepresentation
bin1000011100111010…
…1011111111011000
312212010002200100000
42013032223333120
514121301234420
61013043413000
7110136156336
oct20716537730
95763080300
102268774360
11a64733836
12533984160
132a2061348
14177460b56
15d42a4690
hex873abfd8

2268774360 has 192 divisors, whose sum is σ = 7834488480. Its totient is φ = 590146560.

The previous prime is 2268774359. The next prime is 2268774367. The reversal of 2268774360 is 634778622.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2268774367) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 395674 + ... + 401366.

Almost surely, 22268774360 is an apocalyptic number.

2268774360 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 2268774360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3917244240).

2268774360 is an abundant number, since it is smaller than the sum of its proper divisors (5565714120).

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

2268774360 is a wasteful number, since it uses less digits than its factorization.

2268774360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5760 (or 5744 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 2268774360 is about 47631.6529211406. The cubic root of 2268774360 is about 1314.0052542481.

The spelling of 2268774360 in words is "two billion, two hundred sixty-eight million, seven hundred seventy-four thousand, three hundred sixty".