Search a number
-
+
2022210120 = 23357107149151
BaseRepresentation
bin111100010001000…
…0111101001001000
312012221010220210010
41320202013221020
513120141210440
6532354551520
7101053334220
oct17042075110
95187126703
102022210120
11948537437
124852985a0
13262c52748
141527db080
15bc7ed580
hex78887a48

2022210120 has 256 divisors, whose sum is σ = 7091712000. Its totient is φ = 451814400.

The previous prime is 2022210103. The next prime is 2022210121. The reversal of 2022210120 is 210122202.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2022210096 and 2022210105.

It is not an unprimeable number, because it can be changed into a prime (2022210121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13392045 + ... + 13392195.

It is an arithmetic number, because the mean of its divisors is an integer number (27702000).

Almost surely, 22022210120 is an apocalyptic number.

2022210120 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 2022210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3545856000).

2022210120 is an abundant number, since it is smaller than the sum of its proper divisors (5069501880).

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

2022210120 is a wasteful number, since it uses less digits than its factorization.

2022210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2022210120 is about 44968.9906491129. The cubic root of 2022210120 is about 1264.5677245261.

Adding to 2022210120 its reverse (210122202), we get a palindrome (2232332322).

The spelling of 2022210120 in words is "two billion, twenty-two million, two hundred ten thousand, one hundred twenty".