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2220700120 = 235614492027
BaseRepresentation
bin1000010001011101…
…0011000111011000
312201202122020212121
42010113103013120
514021444400440
61004205151024
7106013432242
oct20427230730
95652566777
102220700120
11a3a588961
1251b85b474
132950cb652
14170d09092
15cee5a34a
hex845d31d8

2220700120 has 64 divisors (see below), whose sum is σ = 5092308000. Its totient is φ = 871342080.

The previous prime is 2220700099. The next prime is 2220700121. The reversal of 2220700120 is 210070222.

It is a junction number, because it is equal to n+sod(n) for n = 2220700094 and 2220700103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220700121) 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, 1094547 + ... + 1096573.

Almost surely, 22220700120 is an apocalyptic number.

2220700120 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 2220700120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2546154000).

2220700120 is an abundant number, since it is smaller than the sum of its proper divisors (2871607880).

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

2220700120 is a wasteful number, since it uses less digits than its factorization.

2220700120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2548 (or 2544 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 2220700120 is about 47124.3049816122. The cubic root of 2220700120 is about 1304.6578709023.

Adding to 2220700120 its reverse (210070222), we get a palindrome (2430770342).

The spelling of 2220700120 in words is "two billion, two hundred twenty million, seven hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 305 449 488 610 898 1220 1796 2027 2245 2440 3592 4054 4490 8108 8980 10135 16216 17960 20270 27389 40540 54778 81080 109556 123647 136945 219112 247294 273890 494588 547780 618235 910123 989176 1095560 1236470 1820246 2472940 3640492 4550615 4945880 7280984 9101230 18202460 36404920 55517503 111035006 222070012 277587515 444140024 555175030 1110350060 2220700120