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2205000720 = 2432513235577
BaseRepresentation
bin1000001101101101…
…1010010000010000
312200200002122100100
42003123122100100
514003440010340
61002444452400
7105433124346
oct20333322020
95620078310
102205000720
11a3173574a
1251654a100
13291a92870
1416cbbd996
15cd8a8830
hex836da410

2205000720 has 120 divisors (see below), whose sum is σ = 7974786456. Its totient is φ = 542767104.

The previous prime is 2205000713. The next prime is 2205000739. The reversal of 2205000720 is 270005022.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 10265616 + 2194735104 = 3204^2 + 46848^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 = 2205000693 and 2205000702.

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, 108429 + ... + 127148.

Almost surely, 22205000720 is an apocalyptic number.

2205000720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2205000720 is an abundant number, since it is smaller than the sum of its proper divisors (5769785736).

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

2205000720 is a wasteful number, since it uses less digits than its factorization.

2205000720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235609 (or 235600 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 2205000720 is about 46957.4351940137. The cubic root of 2205000720 is about 1301.5761395744.

Adding to 2205000720 its reverse (270005022), we get a palindrome (2475005742).

The spelling of 2205000720 in words is "two billion, two hundred five million, seven hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 36 39 40 45 48 52 60 65 72 78 80 90 104 117 120 130 144 156 180 195 208 234 240 260 312 360 390 468 520 585 624 720 780 936 1040 1170 1560 1872 2340 3120 4680 9360 235577 471154 706731 942308 1177885 1413462 1884616 2120193 2355770 2826924 3062501 3533655 3769232 4240386 4711540 5653848 6125002 7067310 8480772 9187503 9423080 10600965 11307696 12250004 14134620 15312505 16961544 18375006 18846160 21201930 24500008 27562509 28269240 30625010 33923088 36750012 42403860 45937515 49000016 55125018 56538480 61250020 73500024 84807720 91875030 110250036 122500040 137812545 147000048 169615440 183750060 220500072 245000080 275625090 367500120 441000144 551250180 735000240 1102500360 2205000720