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2022304320 = 263658669
BaseRepresentation
bin111100010001001…
…1110101001000000
312012221022201000000
41320202132221000
513120202214240
6532401000000
7101054205651
oct17042365100
95187281000
102022304320
119485a1193
12485323000
13262c8659a
14152823528
15bc81b430
hex7889ea40

2022304320 has 196 divisors, whose sum is σ = 7220948220. Its totient is φ = 539218944.

The previous prime is 2022304307. The next prime is 2022304351. The reversal of 2022304320 is 234032202.

2022304320 is a `hidden beast` number, since 2 + 0 + 2 + 230 + 432 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 812934144 + 1209370176 = 28512^2 + 34776^2 .

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 = 2022304293 and 2022304302.

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 228946 + ... + 237614.

Almost surely, 22022304320 is an apocalyptic number.

2022304320 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 2022304320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3610474110).

2022304320 is an abundant number, since it is smaller than the sum of its proper divisors (5198643900).

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

2022304320 is an frugal number, since it uses more digits than its factorization.

2022304320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8704 (or 8679 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 2022304320 is about 44970.0380253342. The cubic root of 2022304320 is about 1264.5873598793.

Adding to 2022304320 its reverse (234032202), we get a palindrome (2256336522).

The spelling of 2022304320 in words is "two billion, twenty-two million, three hundred four thousand, three hundred twenty".