Search a number
-
+
2022212320 = 25512638827
BaseRepresentation
bin111100010001000…
…1000001011100000
312012221011000210121
41320202020023200
513120141243240
6532355010024
7101053343512
oct17042101340
95187130717
102022212320
11948539057
12485299914
13262c5374b
141527dbbb2
15bc7ee04a
hex788882e0

2022212320 has 24 divisors (see below), whose sum is σ = 4777476984. Its totient is φ = 808884864.

The previous prime is 2022212317. The next prime is 2022212323. The reversal of 2022212320 is 232122202.

It is an interprime number because it is at equal distance from previous prime (2022212317) and next prime (2022212323).

It is a super-3 number, since 3×20222123203 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2022212294 and 2022212303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2022212323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6319254 + ... + 6319573.

It is an arithmetic number, because the mean of its divisors is an integer number (199061541).

Almost surely, 22022212320 is an apocalyptic number.

2022212320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2022212320 is an abundant number, since it is smaller than the sum of its proper divisors (2755264664).

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

2022212320 is a wasteful number, since it uses less digits than its factorization.

2022212320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12638842 (or 12638834 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2022212320 is about 44969.0151104069. The cubic root of 2022212320 is about 1264.5681831081.

Adding to 2022212320 its reverse (232122202), we get a palindrome (2254334522).

The spelling of 2022212320 in words is "two billion, twenty-two million, two hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 12638827 25277654 50555308 63194135 101110616 126388270 202221232 252776540 404442464 505553080 1011106160 2022212320