Search a number
-
+
22203020 = 22571719491
BaseRepresentation
bin101010010110…
…0101010001100
31112210000211002
41110230222030
521140444040
62111515432
7356502560
oct124545214
945700732
1022203020
1111595504
127528b78
1347a50a8
142d3d6a0
151e38a15
hex152ca8c

22203020 has 96 divisors (see below), whose sum is σ = 59512320. Its totient is φ = 6773760.

The previous prime is 22203011. The next prime is 22203043. The reversal of 22203020 is 2030222.

It is a junction number, because it is equal to n+sod(n) for n = 22202992 and 22203010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44975 + ... + 45465.

It is an arithmetic number, because the mean of its divisors is an integer number (619920).

Almost surely, 222203020 is an apocalyptic number.

22203020 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 22203020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29756160).

22203020 is an abundant number, since it is smaller than the sum of its proper divisors (37309300).

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

22203020 is a wasteful number, since it uses less digits than its factorization.

22203020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 22203020 is about 4712.0080645092. The cubic root of 22203020 is about 281.0632195241.

Adding to 22203020 its reverse (2030222), we get a palindrome (24233242).

It can be divided in two parts, 2 and 2203020, that added together give a palindrome (2203022).

The spelling of 22203020 in words is "twenty-two million, two hundred three thousand, twenty".

Divisors: 1 2 4 5 7 10 14 17 19 20 28 34 35 38 68 70 76 85 95 119 133 140 170 190 238 266 323 340 380 476 491 532 595 646 665 982 1190 1292 1330 1615 1964 2261 2380 2455 2660 3230 3437 4522 4910 6460 6874 8347 9044 9329 9820 11305 13748 16694 17185 18658 22610 33388 34370 37316 41735 45220 46645 58429 65303 68740 83470 93290 116858 130606 158593 166940 186580 233716 261212 292145 317186 326515 584290 634372 653030 792965 1110151 1168580 1306060 1585930 2220302 3171860 4440604 5550755 11101510 22203020