Search a number
-
+
2122220112 = 243149296731
BaseRepresentation
bin111111001111110…
…1000001001010000
312110220022221200220
41332133220021100
513321242020422
6550330313040
7103406400435
oct17637501120
95426287626
102122220112
11999a35421
124b2888780
1327a89a95c
14161bd1b8c
15c64a5e5c
hex7e7e8250

2122220112 has 40 divisors (see below), whose sum is σ = 5519215200. Its totient is φ = 702656640.

The previous prime is 2122220101. The next prime is 2122220119. The reversal of 2122220112 is 2110222212.

2122220112 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×21222201123 (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2122220091 and 2122220100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122220119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 141214 + ... + 155517.

It is an arithmetic number, because the mean of its divisors is an integer number (137980380).

Almost surely, 22122220112 is an apocalyptic number.

It is an amenable number.

2122220112 is an abundant number, since it is smaller than the sum of its proper divisors (3396995088).

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

2122220112 is a wasteful number, since it uses less digits than its factorization.

2122220112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296891 (or 296885 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 2122220112 is about 46067.5603000636. The cubic root of 2122220112 is about 1285.0799330535.

Adding to 2122220112 its reverse (2110222212), we get a palindrome (4232442324).

The spelling of 2122220112 in words is "two billion, one hundred twenty-two million, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 149 298 447 596 894 1192 1788 2384 3576 7152 296731 593462 890193 1186924 1780386 2373848 3560772 4747696 7121544 14243088 44212919 88425838 132638757 176851676 265277514 353703352 530555028 707406704 1061110056 2122220112