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2221020020 = 2254126910069
BaseRepresentation
bin1000010001100010…
…0001001101110100
312201210020111200202
42010120201031310
514022040120040
61004220100032
7106016234012
oct20430411564
95653214622
102221020020
11a3a78723a
1251b994618
132951b113b
14170d8d8b2
15ceec0015
hex84621374

2221020020 has 48 divisors (see below), whose sum is σ = 4796139600. Its totient is φ = 863431680.

The previous prime is 2221020019. The next prime is 2221020023. The reversal of 2221020020 is 200201222.

It can be written as a sum of positive squares in 8 ways, for example, as 1020674704 + 1200345316 = 31948^2 + 34646^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2221019983 and 2221020010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221020023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 215546 + ... + 225614.

It is an arithmetic number, because the mean of its divisors is an integer number (99919575).

Almost surely, 22221020020 is an apocalyptic number.

2221020020 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 2221020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2398069800).

2221020020 is an abundant number, since it is smaller than the sum of its proper divisors (2575119580).

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

2221020020 is a wasteful number, since it uses less digits than its factorization.

2221020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10388 (or 10386 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 2221020020 is about 47127.6990738992. The cubic root of 2221020020 is about 1304.7205148121.

Adding to 2221020020 its reverse (200201222), we get a palindrome (2421221242).

The spelling of 2221020020 in words is "two billion, two hundred twenty-one million, twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 269 410 538 820 1076 1345 2690 5380 10069 11029 20138 22058 40276 44116 50345 55145 100690 110290 201380 220580 412829 825658 1651316 2064145 2708561 4128290 5417122 8256580 10834244 13542805 27085610 54171220 111051001 222102002 444204004 555255005 1110510010 2221020020