Search a number
-
+
243322020 = 2232517131607
BaseRepresentation
bin11101000000011…
…00110010100100
3121221212001001200
432200030302210
5444242301040
640051122500
76013126434
oct1640146244
9557761050
10243322020
11115392487
12695a3430
133b544c36
142445c2c4
1516565630
hexe80cca4

243322020 has 144 divisors (see below), whose sum is σ = 788755968. Its totient is φ = 60503040.

The previous prime is 243322019. The next prime is 243322021. The reversal of 243322020 is 20223342.

243322020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (243322019) and next prime (243322021).

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 = 243321984 and 243322002.

It is not an unprimeable number, because it can be changed into a prime (243322021) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 400557 + ... + 401163.

It is an arithmetic number, because the mean of its divisors is an integer number (5477472).

Almost surely, 2243322020 is an apocalyptic number.

243322020 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 243322020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394377984).

243322020 is an abundant number, since it is smaller than the sum of its proper divisors (545433948).

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

243322020 is a wasteful number, since it uses less digits than its factorization.

243322020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 243322020 is about 15598.7826448092. The cubic root of 243322020 is about 624.3006748695.

Adding to 243322020 its reverse (20223342), we get a palindrome (263545362).

The spelling of 243322020 in words is "two hundred forty-three million, three hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 131 153 170 180 204 255 262 306 340 393 510 524 607 612 655 765 786 1020 1179 1214 1310 1530 1572 1821 1965 2227 2358 2428 2620 3035 3060 3642 3930 4454 4716 5463 5895 6070 6681 7284 7860 8908 9105 10319 10926 11135 11790 12140 13362 18210 20043 20638 21852 22270 23580 26724 27315 30957 33405 36420 40086 41276 44540 51595 54630 61914 66810 79517 80172 92871 100215 103190 109260 123828 133620 154785 159034 185742 200430 206380 238551 309570 318068 371484 397585 400860 464355 477102 619140 715653 795170 928710 954204 1192755 1351789 1431306 1590340 1857420 2385510 2703578 2862612 3578265 4055367 4771020 5407156 6758945 7156530 8110734 12166101 13517890 14313060 16221468 20276835 24332202 27035780 40553670 48664404 60830505 81107340 121661010 243322020