Search a number
-
+
241031200 = 2552319719
BaseRepresentation
bin11100101110111…
…01100000100000
3121210112122122111
432113131200200
5443200444300
635530045104
75654505604
oct1627354040
9553478574
10241031200
11114068343
1268879794
133ac22317
1424023504
15162619ba
hexe5dd820

241031200 has 72 divisors (see below), whose sum is σ = 607461120. Its totient is φ = 93292800.

The previous prime is 241031179. The next prime is 241031243. The reversal of 241031200 is 2130142.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 19941 + ... + 29659.

It is an arithmetic number, because the mean of its divisors is an integer number (8436960).

Almost surely, 2241031200 is an apocalyptic number.

241031200 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 241031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303730560).

241031200 is an abundant number, since it is smaller than the sum of its proper divisors (366429920).

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

241031200 is a wasteful number, since it uses less digits than its factorization.

241031200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9770 (or 9757 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 241031200 is about 15525.1795480761. The cubic root of 241031200 is about 622.3352789652.

Adding to 241031200 its reverse (2130142), we get a palindrome (243161342).

The spelling of 241031200 in words is "two hundred forty-one million, thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 31 32 40 50 62 80 100 124 155 160 200 248 310 400 496 620 775 800 992 1240 1550 2480 3100 4960 6200 9719 12400 19438 24800 38876 48595 77752 97190 155504 194380 242975 301289 311008 388760 485950 602578 777520 971900 1205156 1506445 1555040 1943800 2410312 3012890 3887600 4820624 6025780 7532225 7775200 9641248 12051560 15064450 24103120 30128900 48206240 60257800 120515600 241031200