Search a number
-
+
2201212022020 = 22511312276192297
BaseRepresentation
bin100000000010000010011…
…101011110110100000100
321210102201020202122002221
4200002002131132310010
5242031040234201040
64403120044542124
7315014041320664
oct40020235366404
97712636678087
102201212022020
1177958a88a080
122b6739551944
1312c75b9c6a2b
14787799101a4
153c3d2a6474a
hex2008275ed04

2201212022020 has 192 divisors, whose sum is σ = 5239104675840. Its totient is φ = 769626547200.

The previous prime is 2201212022017. The next prime is 2201212022021. The reversal of 2201212022020 is 202202121022.

It is a junction number, because it is equal to n+sod(n) for n = 2201212021985 and 2201212022003.

It is not an unprimeable number, because it can be changed into a prime (2201212022021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 958297512 + ... + 958299808.

It is an arithmetic number, because the mean of its divisors is an integer number (27287003520).

Almost surely, 22201212022020 is an apocalyptic number.

2201212022020 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 2201212022020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2619552337920).

2201212022020 is an abundant number, since it is smaller than the sum of its proper divisors (3037892653820).

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

2201212022020 is a wasteful number, since it uses less digits than its factorization.

2201212022020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3194 (or 3192 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 2201212022020 its reverse (202202121022), we get a palindrome (2403414143042).

The spelling of 2201212022020 in words is "two trillion, two hundred one billion, two hundred twelve million, twenty-two thousand, twenty".