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202222131120 = 2435519975209
BaseRepresentation
bin1011110001010101100…
…0001101011110110000
3201022222012121122100000
42330111120031132300
511303122331143440
6232522150030000
720416152516252
oct2742530153660
9638865548300
10202222131120
11788421371a9
1233237948300
13160b97cbc69
149b0527dcd2
1553d85b3730
hex2f1560d7b0

202222131120 has 240 divisors, whose sum is σ = 704770204320. Its totient is φ = 53888550912.

The previous prime is 202222131119. The next prime is 202222131157. The reversal of 202222131120 is 21131222202.

202222131120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 202222131093 and 202222131102.

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, 38819076 + ... + 38824284.

It is an arithmetic number, because the mean of its divisors is an integer number (2936542518).

Almost surely, 2202222131120 is an apocalyptic number.

202222131120 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 202222131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352385102160).

202222131120 is an abundant number, since it is smaller than the sum of its proper divisors (502548073200).

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

202222131120 is a wasteful number, since it uses less digits than its factorization.

202222131120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7234 (or 7216 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 202222131120 its reverse (21131222202), we get a palindrome (223353353322).

The spelling of 202222131120 in words is "two hundred two billion, two hundred twenty-two million, one hundred thirty-one thousand, one hundred twenty".