Search a number
-
+
2122202112 = 210319103353
BaseRepresentation
bin111111001111110…
…0011110000000000
312110220022001000020
41332133203300000
513321240431422
6550330053440
7103406264112
oct17637436000
95426261006
102122202112
11999a22948
124b287a280
1327a8926c4
14161bc93b2
15c64a095c
hex7e7e3c00

2122202112 has 176 divisors, whose sum is σ = 6028988160. Its totient is φ = 661782528.

The previous prime is 2122202087. The next prime is 2122202113. The reversal of 2122202112 is 2112022212.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 2122202091 and 2122202100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122202113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6011728 + ... + 6012080.

Almost surely, 22122202112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3014494080).

2122202112 is an abundant number, since it is smaller than the sum of its proper divisors (3906786048).

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

2122202112 is a wasteful number, since it uses less digits than its factorization.

2122202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 480 counting only the distinct ones).

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

The square root of 2122202112 is about 46067.3649344088. The cubic root of 2122202112 is about 1285.0762998293.

Adding to 2122202112 its reverse (2112022212), we get a palindrome (4234224324).

The spelling of 2122202112 in words is "two billion, one hundred twenty-two million, two hundred two thousand, one hundred twelve".