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2014322240 = 26571924753
BaseRepresentation
bin111100000010000…
…0001111001000000
312012101022011122102
41320010001321000
513111131302430
6531513525532
7100626312410
oct17004017100
95171264572
102014322240
1194403a127
124827138a8
13261420368
14151746640
15bbc91345
hex78101e40

2014322240 has 336 divisors, whose sum is σ = 6020116992. Its totient is φ = 628273152.

The previous prime is 2014322239. The next prime is 2014322311. The reversal of 2014322240 is 422234102.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38006054 + ... + 38006106.

Almost surely, 22014322240 is an apocalyptic number.

2014322240 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 2014322240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3010058496).

2014322240 is an abundant number, since it is smaller than the sum of its proper divisors (4005794752).

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

2014322240 is a wasteful number, since it uses less digits than its factorization.

2014322240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2014322240 is about 44881.2014099445. The cubic root of 2014322240 is about 1262.9213812833.

Adding to 2014322240 its reverse (422234102), we get a palindrome (2436556342).

The spelling of 2014322240 in words is "two billion, fourteen million, three hundred twenty-two thousand, two hundred forty".