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202230023120 = 2452527875289
BaseRepresentation
bin1011110001010111011…
…0010100001111010000
3201022222202110121010022
42330111312110033100
511303131341214440
6232523031123012
720416306556066
oct2742566241720
9638882417108
10202230023120
1178846637614
123323a513468
13160bb333198
149b06336036
1553d9121cb5
hex2f15d943d0

202230023120 has 20 divisors (see below), whose sum is σ = 470184803940. Its totient is φ = 80892009216.

The previous prime is 202230023081. The next prime is 202230023129. The reversal of 202230023120 is 21320032202.

202230023120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 152730892864 + 49499130256 = 390808^2 + 222484^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×2022300231202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202230023129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1263937565 + ... + 1263937724.

It is an arithmetic number, because the mean of its divisors is an integer number (23509240197).

Almost surely, 2202230023120 is an apocalyptic number.

202230023120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202230023120 is an abundant number, since it is smaller than the sum of its proper divisors (267954780820).

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

202230023120 is a wasteful number, since it uses less digits than its factorization.

202230023120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2527875302 (or 2527875296 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 202230023120 its reverse (21320032202), we get a palindrome (223550055322).

The spelling of 202230023120 in words is "two hundred two billion, two hundred thirty million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2527875289 5055750578 10111501156 12639376445 20223002312 25278752890 40446004624 50557505780 101115011560 202230023120