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210020000220 = 22325173172683
BaseRepresentation
bin1100001110011000101…
…0101110000111011100
3202002002122200102202200
43003212022232013130
511420110110001340
6240252025251500
721113330355432
oct3034612560734
9662078612680
10210020000220
11810838a6718
1234853333b90
1316a601bcba4
14a244b6cd52
1556e2e83330
hex30e62ae1dc

210020000220 has 216 divisors, whose sum is σ = 677660138064. Its totient is φ = 52467689472.

The previous prime is 210020000171. The next prime is 210020000317. The reversal of 210020000220 is 22000020012.

210020000220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

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 71 ways as a sum of consecutive naturals, for example, 307495999 + ... + 307496681.

It is an arithmetic number, because the mean of its divisors is an integer number (3137315454).

Almost surely, 2210020000220 is an apocalyptic number.

210020000220 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 210020000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338830069032).

210020000220 is an abundant number, since it is smaller than the sum of its proper divisors (467640137844).

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

210020000220 is a wasteful number, since it uses less digits than its factorization.

210020000220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1349 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 210020000220 its reverse (22000020012), we get a palindrome (232020020232).

The spelling of 210020000220 in words is "two hundred ten billion, twenty million, two hundred twenty", and thus it is an aban number.