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242234204212 = 22721121317113409
BaseRepresentation
bin1110000110011001001…
…0001010000000110100
3212011020201101120000001
43201212102022000310
512432043424013322
6303140355401044
723333534522500
oct3414622120064
9764221346001
10242234204212
1193804990a00
123ab438b3184
1319ac521a860
14ba1d2b1300
15647b182827
hex386648a034

242234204212 has 432 divisors, whose sum is σ = 625048598160. Its totient is φ = 81068359680.

The previous prime is 242234204203. The next prime is 242234204231. The reversal of 242234204212 is 212402432242.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 4064827536 + 238169376676 = 63756^2 + 488026^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 592259464 + ... + 592259872.

It is an arithmetic number, because the mean of its divisors is an integer number (1446871755).

Almost surely, 2242234204212 is an apocalyptic number.

242234204212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242234204212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312524299080).

242234204212 is an abundant number, since it is smaller than the sum of its proper divisors (382814393948).

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

242234204212 is a wasteful number, since it uses less digits than its factorization.

242234204212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 242234204212 its reverse (212402432242), we get a palindrome (454636636454).

The spelling of 242234204212 in words is "two hundred forty-two billion, two hundred thirty-four million, two hundred four thousand, two hundred twelve".