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2228068080 = 2433571011459
BaseRepresentation
bin1000010011001101…
…1001111011110000
312202021111120211000
42010303121323300
514030341134310
61005031122000
7106133160210
oct20463317360
95667446730
102228068080
11a43760587
12522213300
132967ab1a4
14171ca6240
15d09134c0
hex84cd9ef0

2228068080 has 320 divisors, whose sum is σ = 8863718400. Its totient is φ = 503884800.

The previous prime is 2228068069. The next prime is 2228068081. The reversal of 2228068080 is 808608222.

2228068080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×22280680802 = 9928574738229772800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2228068081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1526391 + ... + 1527849.

It is an arithmetic number, because the mean of its divisors is an integer number (27699120).

Almost surely, 22228068080 is an apocalyptic number.

2228068080 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 2228068080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4431859200).

2228068080 is an abundant number, since it is smaller than the sum of its proper divisors (6635650320).

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

2228068080 is a wasteful number, since it uses less digits than its factorization.

2228068080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1589 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 2228068080 is about 47202.4160398597. The cubic root of 2228068080 is about 1306.0991664242.

The spelling of 2228068080 in words is "two billion, two hundred twenty-eight million, sixty-eight thousand, eighty".