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2220221321320 = 235101549559733
BaseRepresentation
bin100000010011101111100…
…000001101000001101000
321212020210001010002111011
4200103233200031001220
5242334003124240240
64415542224113304
7316256103564442
oct40235740150150
97766701102434
102220221321320
11786655066a92
122ba363765834
1313149b06c122
14796603c9492
153cb468396ea
hex204ef80d068

2220221321320 has 32 divisors (see below), whose sum is σ = 5044958358120. Its totient is φ = 879295571200.

The previous prime is 2220221321261. The next prime is 2220221321321. The reversal of 2220221321320 is 231231220222.

It can be written as a sum of positive squares in 4 ways, for example, as 1808912021764 + 411309299556 = 1344958^2 + 641334^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2220221321291 and 2220221321300.

It is not an unprimeable number, because it can be changed into a prime (2220221321321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 274775827 + ... + 274783906.

Almost surely, 22220221321320 is an apocalyptic number.

2220221321320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2220221321320 is an abundant number, since it is smaller than the sum of its proper divisors (2824737036800).

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

2220221321320 is a wasteful number, since it uses less digits than its factorization.

2220221321320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549559845 (or 549559841 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 2220221321320 its reverse (231231220222), we get a palindrome (2451452541542).

The spelling of 2220221321320 in words is "two trillion, two hundred twenty billion, two hundred twenty-one million, three hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 101 202 404 505 808 1010 2020 4040 549559733 1099119466 2198238932 2747798665 4396477864 5495597330 10991194660 21982389320 55505533033 111011066066 222022132132 277527665165 444044264264 555055330330 1110110660660 2220221321320