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241312212 = 2232173531117
BaseRepresentation
bin11100110001000…
…10000111010100
3121211001221010100
432120202013110
5443233442322
635540054100
75660056101
oct1630420724
9554057110
10241312212
1111423a489
1268994330
133acc01bb
1424097aa8
15162b9dac
hexe6221d4

241312212 has 72 divisors (see below), whose sum is σ = 648274536. Its totient is φ = 75423744.

The previous prime is 241312207. The next prime is 241312213. The reversal of 241312212 is 212213142.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 10150596 + 231161616 = 3186^2 + 15204^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241312213) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 215478 + ... + 216594.

It is an arithmetic number, because the mean of its divisors is an integer number (9003813).

Almost surely, 2241312212 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 241312212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324137268).

241312212 is an abundant number, since it is smaller than the sum of its proper divisors (406962324).

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

241312212 is a wasteful number, since it uses less digits than its factorization.

241312212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1497 (or 1492 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 241312212 is about 15534.2271130559. The cubic root of 241312212 is about 622.5770398677.

Adding to 241312212 its reverse (212213142), we get a palindrome (453525354).

The spelling of 241312212 in words is "two hundred forty-one million, three hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 353 612 706 1059 1117 1412 2118 2234 3177 3351 4236 4468 6001 6354 6702 10053 12002 12708 13404 18003 18989 20106 24004 36006 37978 40212 54009 56967 72012 75956 108018 113934 170901 216036 227868 341802 394301 683604 788602 1182903 1577204 2365806 3548709 4731612 6703117 7097418 13406234 14194836 20109351 26812468 40218702 60328053 80437404 120656106 241312212