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2220068760 = 23357131711959
BaseRepresentation
bin1000010001010011…
…1000111110011000
312201201110011210220
42010110320332120
514021314200020
61004143440040
7106005162450
oct20424707630
95651404726
102220068760
11a3a197578
1251b5b6020
13294c3a170
14170bc2d60
15ced83240
hex84538f98

2220068760 has 256 divisors, whose sum is σ = 8680089600. Its totient is φ = 440819712.

The previous prime is 2220068759. The next prime is 2220068761. The reversal of 2220068760 is 678600222.

It is an interprime number because it is at equal distance from previous prime (2220068759) and next prime (2220068761).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220068761) 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, 179661 + ... + 191619.

It is an arithmetic number, because the mean of its divisors is an integer number (33906600).

Almost surely, 22220068760 is an apocalyptic number.

2220068760 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 2220068760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4340044800).

2220068760 is an abundant number, since it is smaller than the sum of its proper divisors (6460020840).

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

2220068760 is a wasteful number, since it uses less digits than its factorization.

2220068760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12010 (or 12006 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 2220068760 is about 47117.6056267718. The cubic root of 2220068760 is about 1304.5342181767.

Adding to 2220068760 its reverse (678600222), we get a palindrome (2898668982).

The spelling of 2220068760 in words is "two billion, two hundred twenty million, sixty-eight thousand, seven hundred sixty".