Search a number
-
+
2230021020 = 2235211353499
BaseRepresentation
bin1000010011101011…
…0110101110011100
312202102011210202010
42010322312232130
514031341133040
61005141031220
7106155603003
oct20472665634
95672153663
102230021020
11a44874887
125229b5510
13297013086
14172253c3a
15d0b9be80
hex84eb6b9c

2230021020 has 96 divisors (see below), whose sum is σ = 6304032000. Its totient is φ = 588994560.

The previous prime is 2230020997. The next prime is 2230021049. The reversal of 2230021020 is 201200322.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2230020987 and 2230021005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4468731 + ... + 4469229.

It is an arithmetic number, because the mean of its divisors is an integer number (65667000).

Almost surely, 22230021020 is an apocalyptic number.

2230021020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2230021020 is an abundant number, since it is smaller than the sum of its proper divisors (4074010980).

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

2230021020 is a wasteful number, since it uses less digits than its factorization.

2230021020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2230021020 is about 47223.0983735714. The cubic root of 2230021020 is about 1306.4806611128.

Adding to 2230021020 its reverse (201200322), we get a palindrome (2431221342).

The spelling of 2230021020 in words is "two billion, two hundred thirty million, twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 211 353 422 499 633 706 844 998 1055 1059 1266 1412 1497 1765 1996 2110 2118 2495 2532 2994 3165 3530 4220 4236 4990 5295 5988 6330 7060 7485 9980 10590 12660 14970 21180 29940 74483 105289 148966 176147 210578 223449 297932 315867 352294 372415 421156 446898 526445 528441 631734 704588 744830 880735 893796 1052890 1056882 1117245 1263468 1489660 1579335 1761470 2105780 2113764 2234490 2642205 3158670 3522940 4468980 5284410 6317340 10568820 37167017 74334034 111501051 148668068 185835085 223002102 371670170 446004204 557505255 743340340 1115010510 2230021020