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2272927680 = 263251794409
BaseRepresentation
bin1000011101111010…
…0001111111000000
312212101220200121200
42013132201333000
514123332141210
61013312421200
7110216365212
oct20736417700
95771820550
102272927680
11a67010231
12535247800
132a2b8692a
14177c225b2
15d48250c0
hex877a1fc0

2272927680 has 168 divisors, whose sum is σ = 7863382800. Its totient is φ = 602591232.

The previous prime is 2272927673. The next prime is 2272927717. The reversal of 2272927680 is 867292722.

2272927680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 513316 + ... + 517724.

It is an arithmetic number, because the mean of its divisors is an integer number (46805850).

Almost surely, 22272927680 is an apocalyptic number.

2272927680 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 2272927680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3931691400).

2272927680 is an abundant number, since it is smaller than the sum of its proper divisors (5590455120).

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

2272927680 is a wasteful number, since it uses less digits than its factorization.

2272927680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4611 (or 4598 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 2272927680 is about 47675.2313051547. The cubic root of 2272927680 is about 1314.8065910907.

The spelling of 2272927680 in words is "two billion, two hundred seventy-two million, nine hundred twenty-seven thousand, six hundred eighty".