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202220131320 = 233256125735831
BaseRepresentation
bin1011110001010101000…
…0100101001111111000
3201022222001212001010100
42330111100211033320
511303121323200240
6232522035115400
720416126520034
oct2742520451770
9638861761110
10202220131320
1178840aa0779
1233237142b60
13160b927b94c
149b04cbd1c4
1553d831ae30
hex2f154253f8

202220131320 has 192 divisors, whose sum is σ = 670607346240. Its totient is φ = 52833484800.

The previous prime is 202220131307. The next prime is 202220131339. The reversal of 202220131320 is 23131022202.

202220131320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2022201313202 (a number of 23 digits) contains 22 as substring.

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 = 202220131293 and 202220131302.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 5625805 + ... + 5661635.

It is an arithmetic number, because the mean of its divisors is an integer number (3492746595).

Almost surely, 2202220131320 is an apocalyptic number.

202220131320 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 202220131320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335303673120).

202220131320 is an abundant number, since it is smaller than the sum of its proper divisors (468387214920).

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

202220131320 is a wasteful number, since it uses less digits than its factorization.

202220131320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36166 (or 36159 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 202220131320 its reverse (23131022202), we get a palindrome (225351153522).

The spelling of 202220131320 in words is "two hundred two billion, two hundred twenty million, one hundred thirty-one thousand, three hundred twenty".