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2220122120 = 235411353733
BaseRepresentation
bin1000010001010100…
…0110000000001000
312201201112220000012
42010111012000020
514021322401440
61004144531052
7106005504146
oct20425060010
95651486005
102220122120
11a3a223677
1251b620a88
13294c58538
14170bd8596
15ced93e65
hex84546008

2220122120 has 32 divisors (see below), whose sum is σ = 5117114520. Its totient is φ = 866388480.

The previous prime is 2220122111. The next prime is 2220122131. The reversal of 2220122120 is 212210222.

It can be written as a sum of positive squares in 4 ways, for example, as 1799626084 + 420496036 = 42422^2 + 20506^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2220122095 and 2220122104.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 675227 + ... + 678506.

Almost surely, 22220122120 is an apocalyptic number.

2220122120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2220122120 is an abundant number, since it is smaller than the sum of its proper divisors (2896992400).

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

2220122120 is a wasteful number, since it uses less digits than its factorization.

2220122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1353785 (or 1353781 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 2220122120 is about 47118.1718660646. The cubic root of 2220122120 is about 1304.5446697131.

Adding to 2220122120 its reverse (212210222), we get a palindrome (2432332342).

The spelling of 2220122120 in words is "two billion, two hundred twenty million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 1640 1353733 2707466 5414932 6768665 10829864 13537330 27074660 54149320 55503053 111006106 222012212 277515265 444024424 555030530 1110061060 2220122120