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242533122 = 231341181419
BaseRepresentation
bin11100111010011…
…00001100000010
3121220100221220020
432131030030002
5444042024442
640022154310
76003332436
oct1635141402
9556327806
10242533122
111149a37a7
1269282996
133b329b30
14242d49c6
151645b9ec
hexe74c302

242533122 has 64 divisors (see below), whose sum is σ = 539360640. Its totient is φ = 72230400.

The previous prime is 242533103. The next prime is 242533127. The reversal of 242533122 is 221335242.

It is a junction number, because it is equal to n+sod(n) for n = 242533092 and 242533101.

It is not an unprimeable number, because it can be changed into a prime (242533127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 578629 + ... + 579047.

It is an arithmetic number, because the mean of its divisors is an integer number (8427510).

Almost surely, 2242533122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242533122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269680320).

242533122 is an abundant number, since it is smaller than the sum of its proper divisors (296827518).

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

242533122 is a wasteful number, since it uses less digits than its factorization.

242533122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659.

The product of its digits is 2880, while the sum is 24.

The square root of 242533122 is about 15573.4749494132. The cubic root of 242533122 is about 623.6252423903.

Adding to 242533122 its reverse (221335242), we get a palindrome (463868364).

The spelling of 242533122 in words is "two hundred forty-two million, five hundred thirty-three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 13 26 39 41 78 82 123 181 246 362 419 533 543 838 1066 1086 1257 1599 2353 2514 3198 4706 5447 7059 7421 10894 14118 14842 16341 17179 22263 32682 34358 44526 51537 75839 96473 103074 151678 192946 223327 227517 289419 446654 455034 578838 669981 985907 1339962 1971814 2957721 3109399 5915442 6218798 9328197 18656394 40422187 80844374 121266561 242533122