Search a number
-
+
2114555520 = 273571114303
BaseRepresentation
bin111111000001001…
…1000111010000000
312110100220112212010
41332002120322000
513312311234040
6545454132520
7103254265620
oct17602307200
95410815763
102114555520
1199567a950
124b01b1140
132791160ac
14160b98880
15c598ee80
hex7e098e80

2114555520 has 256 divisors, whose sum is σ = 8403886080. Its totient is φ = 439357440.

The previous prime is 2114555501. The next prime is 2114555533. The reversal of 2114555520 is 255554112.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140689 + ... + 154991.

It is an arithmetic number, because the mean of its divisors is an integer number (32827680).

Almost surely, 22114555520 is an apocalyptic number.

2114555520 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 2114555520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4201943040).

2114555520 is an abundant number, since it is smaller than the sum of its proper divisors (6289330560).

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

2114555520 is a wasteful number, since it uses less digits than its factorization.

2114555520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14343 (or 14331 counting only the distinct ones).

The product of its (nonzero) digits is 10000, while the sum is 30.

The square root of 2114555520 is about 45984.2964499839. The cubic root of 2114555520 is about 1283.5310056259.

It can be divided in two parts, 21 and 14555520, that added together give a palindrome (14555541).

The spelling of 2114555520 in words is "two billion, one hundred fourteen million, five hundred fifty-five thousand, five hundred twenty".