Search a number
-
+
241131150 = 232521347877
BaseRepresentation
bin11100101111101…
…01111010001110
3121210201201202100
432113311322032
5443212144100
635532135530
75655403161
oct1627657216
9553651670
10241131150
11114126447
12689075a6
133ac58970
142404bad8
1516281400
hexe5f5e8e

241131150 has 144 divisors (see below), whose sum is σ = 713329344. Its totient is φ = 58026240.

The previous prime is 241131091. The next prime is 241131151. The reversal of 241131150 is 51131142.

241131150 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241131151) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 274512 + ... + 275388.

It is an arithmetic number, because the mean of its divisors is an integer number (4953676).

Almost surely, 2241131150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241131150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356664672).

241131150 is an abundant number, since it is smaller than the sum of its proper divisors (472198194).

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

241131150 is a wasteful number, since it uses less digits than its factorization.

241131150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 955 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 241131150 is about 15528.3981788206. The cubic root of 241131150 is about 622.4212897046.

Adding to 241131150 its reverse (51131142), we get a palindrome (292262292).

The spelling of 241131150 in words is "two hundred forty-one million, one hundred thirty-one thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 39 45 47 50 65 75 78 90 94 117 130 141 150 195 225 234 235 282 325 390 423 450 470 585 611 650 705 846 877 975 1170 1175 1222 1410 1754 1833 1950 2115 2350 2631 2925 3055 3525 3666 4230 4385 5262 5499 5850 6110 7050 7893 8770 9165 10575 10998 11401 13155 15275 15786 18330 21150 21925 22802 26310 27495 30550 34203 39465 41219 43850 45825 54990 57005 65775 68406 78930 82438 91650 102609 114010 123657 131550 137475 171015 197325 205218 206095 247314 274950 285025 342030 370971 394650 412190 513045 535847 570050 618285 741942 855075 1026090 1030475 1071694 1236570 1607541 1710150 1854855 2060950 2565225 2679235 3091425 3215082 3709710 4822623 5130450 5358470 6182850 8037705 9274275 9645246 13396175 16075410 18548550 24113115 26792350 40188525 48226230 80377050 120565575 241131150