Search a number
2112422220 = 2233510093877
BaseRepresentation
bin111110111101001…
…0000000101001100
312110012220011112000
41331322100011030
513311240002340
6545340312300
7103230202236
oct17572200514
95405804460
102112422220
11994453097
124ab542690
1327884a09c
141607a1256
15c56bcd30
hex7de9014c

2112422220 has 96 divisors (see below), whose sum is σ = 6580190400. Its totient is φ = 562609152.

The previous prime is 2112422197. The next prime is 2112422239. The reversal of 2112422220 is 222242112.

2112422220 is a `hidden beast` number, since 21 + 1 + 2 + 422 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2112422193 and 2112422202.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 542922 + ... + 546798.

It is an arithmetic number, because the mean of its divisors is an integer number (68543650).

Almost surely, 22112422220 is an apocalyptic number.

2112422220 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 2112422220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3290095200).

2112422220 is an abundant number, since it is smaller than the sum of its proper divisors (4467768180).

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

2112422220 is a wasteful number, since it uses less digits than its factorization.

2112422220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4904 (or 4896 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2112422220 is about 45961.0946344841. The cubic root of 2112422220 is about 1283.0992241011.

Adding to 2112422220 its reverse (222242112), we get a palindrome (2334664332).

The spelling of 2112422220 in words is "two billion, one hundred twelve million, four hundred twenty-two thousand, two hundred twenty".