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242212216554 = 23271159103149193
BaseRepresentation
bin1110000110010011111…
…0010001111011101010
3212011012012000110121100
43201210332101323222
512432022311412204
6303134252222230
723333146604520
oct3414476217352
9764165013540
10242212216554
11937a3533290
123ab3846a976
1319ac07bc7c9
14ba1a3ca310
15647928ca39
hex3864f91eea

242212216554 has 384 divisors, whose sum is σ = 679850496000. Its totient is φ = 60519260160.

The previous prime is 242212216541. The next prime is 242212216627. The reversal of 242212216554 is 455612212242.

242212216554 is a `hidden beast` number, since 2 + 422 + 1 + 22 + 165 + 54 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1254985482 + ... + 1254985674.

It is an arithmetic number, because the mean of its divisors is an integer number (1770444000).

Almost surely, 2242212216554 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242212216554, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339925248000).

242212216554 is an abundant number, since it is smaller than the sum of its proper divisors (437638279446).

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

242212216554 is a wasteful number, since it uses less digits than its factorization.

242212216554 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 527 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

Adding to 242212216554 its reverse (455612212242), we get a palindrome (697824428796).

The spelling of 242212216554 in words is "two hundred forty-two billion, two hundred twelve million, two hundred sixteen thousand, five hundred fifty-four".