Search a number
-
+
2070203200 = 26521399529
BaseRepresentation
bin111101101100100…
…1100101101000000
312100021110012220121
41323121030231000
513214433000300
6541231350024
7102205302562
oct17331145500
95307405817
102070203200
1197263733a
12499382314
1326cb87510
14158d31332
15c1b2d81a
hex7b64cb40

2070203200 has 84 divisors (see below), whose sum is σ = 5485894540. Its totient is φ = 764375040.

The previous prime is 2070203189. The next prime is 2070203209. The reversal of 2070203200 is 23020702.

It is a happy number.

2070203200 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 681001216 + 1389201984 = 26096^2 + 37272^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2070203209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28965 + ... + 70564.

Almost surely, 22070203200 is an apocalyptic number.

2070203200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2070203200 is an abundant number, since it is smaller than the sum of its proper divisors (3415691340).

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

2070203200 is a wasteful number, since it uses less digits than its factorization.

2070203200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99564 (or 99549 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 16.

The square root of 2070203200 is about 45499.4857113792. The cubic root of 2070203200 is about 1274.4935987160.

Adding to 2070203200 its reverse (23020702), we get a palindrome (2093223902).

The spelling of 2070203200 in words is "two billion, seventy million, two hundred three thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 130 160 200 208 260 320 325 400 416 520 650 800 832 1040 1300 1600 2080 2600 4160 5200 10400 20800 99529 199058 398116 497645 796232 995290 1293877 1592464 1990580 2488225 2587754 3184928 3981160 4976450 5175508 6369856 6469385 7962320 9952900 10351016 12938770 15924640 19905800 20702032 25877540 31849280 32346925 39811600 41404064 51755080 64693850 79623200 82808128 103510160 129387700 159246400 207020320 258775400 414040640 517550800 1035101600 2070203200