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2200020020 = 2251125139841
BaseRepresentation
bin1000001100100001…
…1010010000110100
312200022201121002222
42003020122100310
514001201120040
61002150021512
7105342601352
oct20310322064
95608647088
102200020020
11a29943670
12514947898
13290a3a7c3
1416c2847d2
15cd222bb5
hex8321a434

2200020020 has 48 divisors (see below), whose sum is σ = 5060252736. Its totient is φ = 796800000.

The previous prime is 2200020007. The next prime is 2200020029. The reversal of 2200020020 is 200200022.

2200020020 is a modest number, since divided by 20020 gives 2200 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2200020029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35300 + ... + 75140.

It is an arithmetic number, because the mean of its divisors is an integer number (105421932).

Almost surely, 22200020020 is an apocalyptic number.

2200020020 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 2200020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2530126368).

2200020020 is an abundant number, since it is smaller than the sum of its proper divisors (2860232716).

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

2200020020 is a wasteful number, since it uses less digits than its factorization.

2200020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40112 (or 40110 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

The square root of 2200020020 is about 46904.3710116659. The cubic root of 2200020020 is about 1300.5953919668.

Adding to 2200020020 its reverse (200200022), we get a palindrome (2400220042).

The spelling of 2200020020 in words is "two billion, two hundred million, twenty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 251 502 1004 1255 2510 2761 5020 5522 11044 13805 27610 39841 55220 79682 159364 199205 398410 438251 796820 876502 1753004 2191255 4382510 8765020 10000091 20000182 40000364 50000455 100000910 110001001 200001820 220002002 440004004 550005005 1100010010 2200020020