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2113614000 = 2435534349
BaseRepresentation
bin111110111111011…
…0011000010110000
312110022010201100000
41331332303002300
513312041122000
6545422030000
7103243264641
oct17576630260
95408121300
102113614000
11995097533
124aba18300
13278b76694
141609d16c8
15c5856000
hex7dfb30b0

2113614000 has 240 divisors, whose sum is σ = 7657322400. Its totient is φ = 563500800.

The previous prime is 2113613993. The next prime is 2113614031. The reversal of 2113614000 is 4163112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 483826 + ... + 488174.

It is an arithmetic number, because the mean of its divisors is an integer number (31905510).

Almost surely, 22113614000 is an apocalyptic number.

2113614000 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 2113614000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3828661200).

2113614000 is an abundant number, since it is smaller than the sum of its proper divisors (5543708400).

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

2113614000 is an equidigital number, since it uses as much as digits as its factorization.

2113614000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4387 (or 4359 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2113614000 is about 45974.0579022561. The cubic root of 2113614000 is about 1283.3404770877.

Adding to 2113614000 its reverse (4163112), we get a palindrome (2117777112).

The spelling of 2113614000 in words is "two billion, one hundred thirteen million, six hundred fourteen thousand".