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2221133220 = 2232561202289
BaseRepresentation
bin1000010001100011…
…1100110110100100
312201210110020222100
42010120330312210
514022102230340
61004222332100
7106020215025
oct20430746644
95653406870
102221133220
11a3a854299
1251ba2a030
13295220817
14170dbcc4c
15ceee3830
hex8463cda4

2221133220 has 72 divisors (see below), whose sum is σ = 6847921080. Its totient is φ = 582589440.

The previous prime is 2221133219. The next prime is 2221133237. The reversal of 2221133220 is 223311222.

It can be written as a sum of positive squares in 4 ways, for example, as 91126116 + 2130007104 = 9546^2 + 46152^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2221133193 and 2221133202.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90165 + ... + 112124.

It is an arithmetic number, because the mean of its divisors is an integer number (95110015).

Almost surely, 22221133220 is an apocalyptic number.

2221133220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2221133220 is an abundant number, since it is smaller than the sum of its proper divisors (4626787860).

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

2221133220 is a wasteful number, since it uses less digits than its factorization.

2221133220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202365 (or 202360 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2221133220 is about 47128.9000508181. The cubic root of 2221133220 is about 1304.7426805815.

Adding to 2221133220 its reverse (223311222), we get a palindrome (2444444442).

The spelling of 2221133220 in words is "two billion, two hundred twenty-one million, one hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 61 90 122 180 183 244 305 366 549 610 732 915 1098 1220 1830 2196 2745 3660 5490 10980 202289 404578 606867 809156 1011445 1213734 1820601 2022890 2427468 3034335 3641202 4045780 6068670 7282404 9103005 12137340 12339629 18206010 24679258 36412020 37018887 49358516 61698145 74037774 111056661 123396290 148075548 185094435 222113322 246792580 370188870 444226644 555283305 740377740 1110566610 2221133220