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2210211000020 = 225532085104717
BaseRepresentation
bin100000001010011010110…
…101110110111011010100
321211021221101221002012102
4200022122311312323110
5242203003004000040
64411205032141232
7315453042344312
oct40123265667324
97737841832172
102210211000020
11782388542481
122b842b237818
131305641a9a9a
1478d90b3b0b2
153c75cadd515
hex2029ad76ed4

2210211000020 has 24 divisors (see below), whose sum is σ = 4729017500424. Its totient is φ = 867403561856.

The previous prime is 2210211000001. The next prime is 2210211000089. The reversal of 2210211000020 is 200001120122.

It is a happy number.

2210211000020 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 4 ways, for example, as 30932367376 + 2179278632644 = 175876^2 + 1476238^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2210210999965 and 2210211000010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1042551299 + ... + 1042553418.

It is an arithmetic number, because the mean of its divisors is an integer number (197042395851).

Almost surely, 22210211000020 is an apocalyptic number.

2210211000020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2210211000020 is an abundant number, since it is smaller than the sum of its proper divisors (2518806500404).

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

2210211000020 is a wasteful number, since it uses less digits than its factorization.

2210211000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2085104779 (or 2085104777 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2210211000020 its reverse (200001120122), we get a palindrome (2410212120142).

The spelling of 2210211000020 in words is "two trillion, two hundred ten billion, two hundred eleven million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 53 106 212 265 530 1060 2085104717 4170209434 8340418868 10425523585 20851047170 41702094340 110510550001 221021100002 442042200004 552552750005 1105105500010 2210211000020