Search a number
-
+
241200250254 = 2333125387697
BaseRepresentation
bin1110000010100010100…
…1111011110110001110
3212001120122211020211000
43200220221323312032
512422434231002004
6302450022241130
723266111204455
oct3405051736616
9761518736730
10241200250254
1193324286aa7
123a8b55861a6
131998bc52a92
14b961c45b9c
15641a4e5c39
hex3828a7bd8e

241200250254 has 96 divisors (see below), whose sum is σ = 564305058720. Its totient is φ = 76337614080.

The previous prime is 241200250237. The next prime is 241200250259. The reversal of 241200250254 is 452052002142.

241200250254 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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241200250259) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2706534 + ... + 2794230.

It is an arithmetic number, because the mean of its divisors is an integer number (5878177695).

Almost surely, 2241200250254 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241200250254, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282152529360).

241200250254 is an abundant number, since it is smaller than the sum of its proper divisors (323104808466).

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

241200250254 is a wasteful number, since it uses less digits than its factorization.

241200250254 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87823 (or 87786 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

Adding to 241200250254 its reverse (452052002142), we get a palindrome (693252252396).

The spelling of 241200250254 in words is "two hundred forty-one billion, two hundred million, two hundred fifty thousand, two hundred fifty-four".

Divisors: 1 2 3 6 9 18 27 31 53 54 62 93 106 159 186 279 318 477 558 837 954 961 1431 1643 1674 1922 2862 2883 3286 4929 5766 8649 9858 14787 17298 25947 29574 44361 50933 51894 87697 88722 101866 152799 175394 263091 305598 458397 526182 789273 916794 1375191 1578546 2367819 2718607 2750382 4647941 4735638 5437214 8155821 9295882 13943823 16311642 24467463 27887646 41831469 48934926 73402389 83662938 84276817 125494407 144086171 146804778 168553634 250988814 252830451 288172342 432258513 505660902 758491353 864517026 1296775539 1516982706 2275474059 2593551078 3890326617 4466671301 4550948118 7780653234 8933342602 13400013903 26800027806 40200041709 80400083418 120600125127 241200250254