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232234323432232 = 23113131771655167
BaseRepresentation
bin110100110011011101000100…
…010110100101001100101000
31010110021101101022001100221211
4310303131010112211030220
5220414411343244312412
62141530550402042504
766626243012563462
oct6463350426451450
91113241338040854
10232234323432232
1167aa7029272000
1222068699049434
139c777ab27b674
14414c2b6253132
151bcae33755ca7
hexd337445a5328

232234323432232 has 64 divisors (see below), whose sum is σ = 478987213731840. Its totient is φ = 105552981325440.

The previous prime is 232234323432227. The next prime is 232234323432257.

232234323432232 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139481113 + ... + 141136279.

It is an arithmetic number, because the mean of its divisors is an integer number (7484175214560).

Almost surely, 2232234323432232 is an apocalyptic number.

232234323432232 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 232234323432232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239493606865920).

232234323432232 is an abundant number, since it is smaller than the sum of its proper divisors (246752890299608).

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

232234323432232 is a wasteful number, since it uses less digits than its factorization.

232234323432232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1668383 (or 1668357 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 40.

The spelling of 232234323432232 in words is "two hundred thirty-two trillion, two hundred thirty-four billion, three hundred twenty-three million, four hundred thirty-two thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 968 1331 2662 5324 10648 13177 26354 52708 105416 144947 289894 579788 1159576 1594417 1655167 3188834 3310334 6377668 6620668 12755336 13241336 17538587 18206837 35077174 36413674 70154348 72827348 140308696 145654696 200275207 400550414 801100828 1602201656 2203027277 4406054554 8812109108 17624218216 21810135559 43620271118 87240542236 174481084472 239911491149 479822982298 959645964596 1919291929192 2639026402639 5278052805278 10556105610556 21112211221112 29029290429029 58058580858058 116117161716116 232234323432232