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2221012020 = 2235236432503
BaseRepresentation
bin1000010001100001…
…1111010000110100
312201210020002201110
42010120133100310
514022034341040
61004215555020
7106016201463
oct20430372064
95653202643
102221012020
11a3a781227
1251b98ba70
132951aa5c6
14170d8a9da
15ceebc980
hex8461f434

2221012020 has 96 divisors (see below), whose sum is σ = 6501906432. Its totient is φ = 565411968.

The previous prime is 2221011983. The next prime is 2221012033. The reversal of 2221012020 is 202101222.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2221011987 and 2221012005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 886089 + ... + 888591.

It is an arithmetic number, because the mean of its divisors is an integer number (67728192).

Almost surely, 22221012020 is an apocalyptic number.

2221012020 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 2221012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3250953216).

2221012020 is an abundant number, since it is smaller than the sum of its proper divisors (4280894412).

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

2221012020 is a wasteful number, since it uses less digits than its factorization.

2221012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3181 (or 3179 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2221012020 is about 47127.6141980474. The cubic root of 2221012020 is about 1304.7189482981.

Adding to 2221012020 its reverse (202101222), we get a palindrome (2423113242).

The spelling of 2221012020 in words is "two billion, two hundred twenty-one million, twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 643 690 1286 1380 1929 2503 2572 3215 3858 5006 6430 7509 7716 9645 10012 12515 12860 14789 15018 19290 25030 29578 30036 37545 38580 44367 50060 57569 59156 73945 75090 88734 115138 147890 150180 172707 177468 221835 230276 287845 295780 345414 443670 575690 690828 863535 887340 1151380 1609429 1727070 3218858 3454140 4828287 6437716 8047145 9656574 16094290 19313148 24141435 32188580 37016867 48282870 74033734 96565740 111050601 148067468 185084335 222101202 370168670 444202404 555253005 740337340 1110506010 2221012020