Search a number
-
+
2140244000 = 2553535061
BaseRepresentation
bin111111110010001…
…1000100000100000
312112011020122211022
41333210120200200
513340400302000
6552212505012
7104015526266
oct17744304040
95464218738
102140244000
119a9125aa4
124b891b168
1328153b78b
14164364436
15c7d66585
hex7f918820

2140244000 has 48 divisors (see below), whose sum is σ = 5258589336. Its totient is φ = 856096000.

The previous prime is 2140243981. The next prime is 2140244009. The reversal of 2140244000 is 4420412.

It can be written as a sum of positive squares in 4 ways, for example, as 379938064 + 1760305936 = 19492^2 + 41956^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2140244000.

It is not an unprimeable number, because it can be changed into a prime (2140244009) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 263531 + ... + 271530.

Almost surely, 22140244000 is an apocalyptic number.

2140244000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2140244000 is an abundant number, since it is smaller than the sum of its proper divisors (3118345336).

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

2140244000 is an equidigital number, since it uses as much as digits as its factorization.

2140244000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535086 (or 535068 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 2140244000 is about 46262.7712096887. The cubic root of 2140244000 is about 1288.7077177420.

Adding to 2140244000 its reverse (4420412), we get a palindrome (2144664412).

The spelling of 2140244000 in words is "two billion, one hundred forty million, two hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 535061 1070122 2140244 2675305 4280488 5350610 8560976 10701220 13376525 17121952 21402440 26753050 42804880 53506100 66882625 85609760 107012200 133765250 214024400 267530500 428048800 535061000 1070122000 2140244000