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2114543340 = 22335713371163
BaseRepresentation
bin111111000001001…
…0101111011101100
312110100212221011000
41332002111323230
513312310341330
6545454000300
7103254215250
oct17602257354
95410787130
102114543340
11995671788
124b01a6090
132791106a0
14160b94260
15c598b560
hex7e095eec

2114543340 has 384 divisors, whose sum is σ = 8322693120. Its totient is φ = 433714176.

The previous prime is 2114543339. The next prime is 2114543357. The reversal of 2114543340 is 433454112.

It is a happy number.

2114543340 is a `hidden beast` number, since 2 + 114 + 543 + 3 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1817599 + ... + 1818761.

It is an arithmetic number, because the mean of its divisors is an integer number (21673680).

Almost surely, 22114543340 is an apocalyptic number.

2114543340 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 2114543340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4161346560).

2114543340 is an abundant number, since it is smaller than the sum of its proper divisors (6208149780).

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

2114543340 is a wasteful number, since it uses less digits than its factorization.

2114543340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1238 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2114543340 is about 45984.1640132774. The cubic root of 2114543340 is about 1283.5285412093.

Adding to 2114543340 its reverse (433454112), we get a palindrome (2547997452).

The spelling of 2114543340 in words is "two billion, one hundred fourteen million, five hundred forty-three thousand, three hundred forty".