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242533016 = 231117223727
BaseRepresentation
bin11100111010011…
…00001010011000
3121220100221202022
432131030022120
5444042024031
640022154012
76003332225
oct1635141230
9556327668
10242533016
111149a3710
1269282908
133b329a7b
14242d494c
151645b97b
hexe74c298

242533016 has 64 divisors (see below), whose sum is σ = 528353280. Its totient is φ = 103150080.

The previous prime is 242532991. The next prime is 242533021. The reversal of 242533016 is 610335242.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 333245 + ... + 333971.

It is an arithmetic number, because the mean of its divisors is an integer number (8255520).

Almost surely, 2242533016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242533016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264176640).

242533016 is an abundant number, since it is smaller than the sum of its proper divisors (285820264).

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

242533016 is a wasteful number, since it uses less digits than its factorization.

242533016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 242533016 is about 15573.4715461903. The cubic root of 242533016 is about 623.6251515377.

Adding to 242533016 its reverse (610335242), we get a palindrome (852868258).

The spelling of 242533016 in words is "two hundred forty-two million, five hundred thirty-three thousand, sixteen".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 136 187 223 374 446 727 748 892 1454 1496 1784 2453 2908 3791 4906 5816 7582 7997 9812 12359 15164 15994 19624 24718 30328 31988 41701 49436 63976 83402 98872 135949 162121 166804 271898 324242 333608 543796 648484 1087592 1296968 1783331 2756057 3566662 5512114 7133324 11024228 14266648 22048456 30316627 60633254 121266508 242533016