Search a number
-
+
242244200 = 235211149739
BaseRepresentation
bin11100111000001…
…01101001101000
3121212211021120102
432130011221220
5444003303300
640012044532
76001020212
oct1634055150
9555737512
10242244200
11114816720
1269163748
133b258483
142425b5b2
15164010d5
hexe705a68

242244200 has 96 divisors (see below), whose sum is σ = 619380000. Its totient is φ = 87379200.

The previous prime is 242244193. The next prime is 242244209. The reversal of 242244200 is 2442242.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (242244209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 327431 + ... + 328169.

It is an arithmetic number, because the mean of its divisors is an integer number (6451875).

Almost surely, 2242244200 is an apocalyptic number.

242244200 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 242244200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309690000).

242244200 is an abundant number, since it is smaller than the sum of its proper divisors (377135800).

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

242244200 is a wasteful number, since it uses less digits than its factorization.

242244200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 242244200 is about 15564.1960923139. The cubic root of 242244200 is about 623.3775090149.

Adding to 242244200 its reverse (2442242), we get a palindrome (244686442).

It can be divided in two parts, 242 and 244200, that added together give a palindrome (244442).

The spelling of 242244200 in words is "two hundred forty-two million, two hundred forty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 149 200 220 275 298 440 550 596 739 745 1100 1192 1478 1490 1639 2200 2956 2980 3278 3695 3725 5912 5960 6556 7390 7450 8129 8195 13112 14780 14900 16258 16390 18475 29560 29800 32516 32780 36950 40645 40975 65032 65560 73900 81290 81950 110111 147800 162580 163900 203225 220222 325160 327800 406450 440444 550555 812900 880888 1101110 1211221 1625800 2202220 2422442 2752775 4404440 4844884 5505550 6056105 9689768 11011100 12112210 22022200 24224420 30280525 48448840 60561050 121122100 242244200