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2221201213220 = 2251121019087641
BaseRepresentation
bin100000010100101001111…
…010001100011100100100
321212100022022221202110202
4200110221322030130210
5242343010002310340
64420223350410032
7316322302536233
oct40245172143444
97770268852422
102221201213220
117870081a6300
122ba597960918
131315c6088912
14797145c0b1a
153cba2897c15
hex20529e8c724

2221201213220 has 72 divisors (see below), whose sum is σ = 5177883957624. Its totient is φ = 799712320000.

The previous prime is 2221201213199. The next prime is 2221201213237. The reversal of 2221201213220 is 223121021222.

It can be written as a sum of positive squares in 4 ways, for example, as 1180560479296 + 1040640733924 = 1086536^2 + 1020118^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2221201213192 and 2221201213201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4299401 + ... + 4788240.

It is an arithmetic number, because the mean of its divisors is an integer number (71915054967).

Almost surely, 22221201213220 is an apocalyptic number.

2221201213220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2221201213220 is an abundant number, since it is smaller than the sum of its proper divisors (2956682744404).

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

2221201213220 is a wasteful number, since it uses less digits than its factorization.

2221201213220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9087773 (or 9087760 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 2221201213220 its reverse (223121021222), we get a palindrome (2444322234442).

The spelling of 2221201213220 in words is "two trillion, two hundred twenty-one billion, two hundred one million, two hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 121 202 220 242 404 484 505 605 1010 1111 1210 2020 2222 2420 4444 5555 11110 12221 22220 24442 48884 61105 122210 244420 9087641 18175282 36350564 45438205 90876410 99964051 181752820 199928102 399856204 499820255 917851741 999640510 1099604561 1835703482 1999281020 2199209122 3671406964 4398418244 4589258705 5498022805 9178517410 10096369151 10996045610 18357034820 20192738302 21992091220 40385476604 50481845755 100963691510 111060060661 201927383020 222120121322 444240242644 555300303305 1110600606610 2221201213220