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234042142230 = 233513596197191
BaseRepresentation
bin1101100111110111111…
…1111010111000010110
3211101002210120200121000
43121331333322320112
512313304242022410
6255303435204130
722623532246041
oct3317577727026
9741083520530
10234042142230
1190290762546
12394382a6646
13190bac6c5c0
14b4832cdc58
15614bd99dc0
hex367dffae16

234042142230 has 512 divisors, whose sum is σ = 705554841600. Its totient is φ = 54842572800.

The previous prime is 234042142189. The next prime is 234042142267. The reversal of 234042142230 is 32241240432.

234042142230 is a `hidden beast` number, since 2 + 3 + 4 + 0 + 421 + 4 + 2 + 230 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 234042142194 and 234042142203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1225351435 + ... + 1225351625.

It is an arithmetic number, because the mean of its divisors is an integer number (1378036800).

Almost surely, 2234042142230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234042142230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352777420800).

234042142230 is an abundant number, since it is smaller than the sum of its proper divisors (471512699370).

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

234042142230 is a wasteful number, since it uses less digits than its factorization.

234042142230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 234042142230 its reverse (32241240432), we get a palindrome (266283382662).

The spelling of 234042142230 in words is "two hundred thirty-four billion, forty-two million, one hundred forty-two thousand, two hundred thirty".