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2221000122 = 2311175093889
BaseRepresentation
bin1000010001100001…
…1100010110111010
312201210012111101210
42010120130112322
514022034000442
61004215423550
7106016122005
oct20430342672
95653174353
102221000122
11a3a7732a0
1251b984bb6
132951a5073
14170d8653c
15ceeb919c
hex8461c5ba

2221000122 has 64 divisors (see below), whose sum is σ = 5142268800. Its totient is φ = 632033280.

The previous prime is 2221000121. The next prime is 2221000141. The reversal of 2221000122 is 2210001222.

It is a junction number, because it is equal to n+sod(n) for n = 2221000098 and 2221000107.

It is not an unprimeable number, because it can be changed into a prime (2221000121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 569154 + ... + 573042.

It is an arithmetic number, because the mean of its divisors is an integer number (80347950).

Almost surely, 22221000122 is an apocalyptic number.

2221000122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2221000122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2571134400).

2221000122 is an abundant number, since it is smaller than the sum of its proper divisors (2921268678).

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

2221000122 is a wasteful number, since it uses less digits than its factorization.

2221000122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4431.

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

The square root of 2221000122 is about 47127.4879661541. The cubic root of 2221000122 is about 1304.7166184932.

Adding to 2221000122 its reverse (2210001222), we get a palindrome (4431001344).

It can be divided in two parts, 2 and 221000122, that multiplied together give a palindrome (442000244).

The spelling of 2221000122 in words is "two billion, two hundred twenty-one million, one hundred twenty-two", and thus it is an aban number.

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 187 374 509 561 1018 1122 1527 3054 3889 5599 7778 8653 11198 11667 16797 17306 23334 25959 33594 42779 51918 66113 85558 95183 128337 132226 190366 198339 256674 285549 396678 571098 727243 1454486 1979501 2181729 3959002 4363458 5938503 11877006 21774511 33651517 43549022 65323533 67303034 100954551 130647066 201909102 370166687 740333374 1110500061 2221000122