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2230122220 = 2251723328151
BaseRepresentation
bin1000010011101100…
…1111011011101100
312202102100221120021
42010323033123230
514031402402340
61005143131524
7106156504024
oct20473173354
95672327507
102230122220
11a44933917
12522a43ba4
1329704a161
1417227ca84
15d0bbbe4a
hex84ecf6ec

2230122220 has 48 divisors (see below), whose sum is σ = 4980201408. Its totient is φ = 835942400.

The previous prime is 2230122197. The next prime is 2230122227. The reversal of 2230122220 is 222210322.

It is a super-2 number, since 2×22301222202 = 9946890232275456800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2230122194 and 2230122203.

It is not an unprimeable number, because it can be changed into a prime (2230122227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65145 + ... + 93295.

It is an arithmetic number, because the mean of its divisors is an integer number (103754196).

Almost surely, 22230122220 is an apocalyptic number.

2230122220 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 2230122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2490100704).

2230122220 is an abundant number, since it is smaller than the sum of its proper divisors (2750079188).

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

2230122220 is a wasteful number, since it uses less digits than its factorization.

2230122220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28410 (or 28408 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2230122220 is about 47224.1698709464. The cubic root of 2230122220 is about 1306.5004238328.

Adding to 2230122220 its reverse (222210322), we get a palindrome (2452332542).

It can be divided in two parts, 22301 and 22220, that added together give a square (44521 = 2112).

The spelling of 2230122220 in words is "two billion, two hundred thirty million, one hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 233 340 466 932 1165 2330 3961 4660 7922 15844 19805 28151 39610 56302 79220 112604 140755 281510 478567 563020 957134 1914268 2392835 4785670 6559183 9571340 13118366 26236732 32795915 65591830 111506111 131183660 223012222 446024444 557530555 1115061110 2230122220