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232234302142024 = 237132171823791801
BaseRepresentation
bin110100110011011101000011…
…000101010111011001001000
31010110021101022210222201021121
4310303131003011113121020
5220414411322322021044
62141530544321445024
766626242333612060
oct6463350305273110
91113241283881247
10232234302142024
1167aa7018250396
1222068691aa0774
139c777a6a35c00
14414c2b34b03a0
151bcae3194c984
hexd33743157648

232234302142024 has 192 divisors, whose sum is σ = 570881894077440. Its totient is φ = 86421080678400.

The previous prime is 232234302142013. The next prime is 232234302142027. The reversal of 232234302142024 is 420241203432232.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (232234302142027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 292902924 + ... + 293694724.

It is an arithmetic number, because the mean of its divisors is an integer number (2973343198320).

Almost surely, 2232234302142024 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 232234302142024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285440947038720).

232234302142024 is an abundant number, since it is smaller than the sum of its proper divisors (338647591935416).

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

232234302142024 is a wasteful number, since it uses less digits than its factorization.

232234302142024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793680 (or 793663 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 34.

Adding to 232234302142024 its reverse (420241203432232), we get a palindrome (652475505574256).

The spelling of 232234302142024 in words is "two hundred thirty-two trillion, two hundred thirty-four billion, three hundred two million, one hundred forty-two thousand, twenty-four".