Search a number
-
+
2022231210120 = 23325114771199769
BaseRepresentation
bin11101011011010110010…
…111110111100010001000
321011022201202210100002200
4131123112113313202020
5231113012142210440
64145000013000200
7266046526446522
oct35332627674210
97138652710080
102022231210120
1170a694887010
12287b09183060
1311890727a384
146dc3b218a12
1537909a7cc30
hex1d6d65f7888

2022231210120 has 768 divisors, whose sum is σ = 7472424960000. Its totient is φ = 470060236800.

The previous prime is 2022231210107. The next prime is 2022231210137. The reversal of 2022231210120 is 210121322202.

2022231210120 is a `hidden beast` number, since 2 + 0 + 222 + 312 + 10 + 120 = 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 = 2022231210093 and 2022231210102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2629689096 + ... + 2629689864.

It is an arithmetic number, because the mean of its divisors is an integer number (9729720000).

Almost surely, 22022231210120 is an apocalyptic number.

2022231210120 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 2022231210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3736212480000).

2022231210120 is an abundant number, since it is smaller than the sum of its proper divisors (5450193749880).

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

2022231210120 is a wasteful number, since it uses less digits than its factorization.

2022231210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2022231210120 its reverse (210121322202), we get a palindrome (2232352532322).

The spelling of 2022231210120 in words is "two trillion, twenty-two billion, two hundred thirty-one million, two hundred ten thousand, one hundred twenty".