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2214330000 = 24354312381
BaseRepresentation
bin1000001111111011…
…1111111010010000
312201022122121201020
42003332333322100
514013332030000
61003420435440
7105605331411
oct20376777220
95638577636
102214330000
11a36a279a3
125196a8b80
132939ab04c
1417012b808
15ce5ecba0
hex83fbfe90

2214330000 has 200 divisors, whose sum is σ = 7381837056. Its totient is φ = 571200000.

The previous prime is 2214329989. The next prime is 2214330007. The reversal of 2214330000 is 334122.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (2214330007) 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 39 ways as a sum of consecutive naturals, for example, 928810 + ... + 931190.

Almost surely, 22214330000 is an apocalyptic number.

2214330000 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 2214330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3690918528).

2214330000 is an abundant number, since it is smaller than the sum of its proper divisors (5167507056).

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

2214330000 is a wasteful number, since it uses less digits than its factorization.

2214330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2443 (or 2422 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2214330000 is about 47056.6679653373. The cubic root of 2214330000 is about 1303.4091976577.

Adding to 2214330000 its reverse (334122), we get a palindrome (2214664122).

The spelling of 2214330000 in words is "two billion, two hundred fourteen million, three hundred thirty thousand".