Search a number
-
+
2122222340 = 225722165533
BaseRepresentation
bin111111001111110…
…1000101100000100
312110220100001202102
41332133220230010
513321242103330
6550330331232
7103406410100
oct17637505404
95426301672
102122222340
11999a37067
124b2889b18
1327a89b984
14161bd2900
15c64a6945
hex7e7e8b04

2122222340 has 36 divisors (see below), whose sum is σ = 5184288396. Its totient is φ = 727618752.

The previous prime is 2122222339. The next prime is 2122222363. The reversal of 2122222340 is 432222212.

It can be written as a sum of positive squares in 2 ways, for example, as 353515204 + 1768707136 = 18802^2 + 42056^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1081787 + ... + 1083746.

It is an arithmetic number, because the mean of its divisors is an integer number (144008011).

Almost surely, 22122222340 is an apocalyptic number.

2122222340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122222340 is an abundant number, since it is smaller than the sum of its proper divisors (3062066056).

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

2122222340 is a wasteful number, since it uses less digits than its factorization.

2122222340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2165556 (or 2165547 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2122222340 is about 46067.5844819326. The cubic root of 2122222340 is about 1285.0803827645.

Adding to 2122222340 its reverse (432222212), we get a palindrome (2554444552).

The spelling of 2122222340 in words is "two billion, one hundred twenty-two million, two hundred twenty-two thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 2165533 4331066 8662132 10827665 15158731 21655330 30317462 43310660 60634924 75793655 106111117 151587310 212222234 303174620 424444468 530555585 1061111170 2122222340