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232230110112000 = 283253711135411489
BaseRepresentation
bin110100110011011001001001…
…001110000010100100000000
31010110020222111122221112011100
4310303121021032002210000
5220414324231142041000
62141525012332014400
766626033422134150
oct6463311116024400
91113228448845140
10232230110112000
1167aa5266a28170
1222067902001400
139c772893baa80
14414bdd6850760
151bcac888e4a00
hexd33649382900

232230110112000 has 3456 divisors, whose sum is σ = 1124795770076160. Its totient is φ = 44431441920000.

The previous prime is 232230110111983. The next prime is 232230110112001. The reversal of 232230110112000 is 211011032232.

232230110112000 is a `hidden beast` number, since 2 + 322 + 30 + 110 + 1 + 1 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (232230110112001) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 155963807256 + ... + 155963808744.

Almost surely, 2232230110112000 is an apocalyptic number.

232230110112000 is a gapful number since it is divisible by the number (20) 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 232230110112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562397885038080).

232230110112000 is an abundant number, since it is smaller than the sum of its proper divisors (892565659964160).

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

232230110112000 is a wasteful number, since it uses less digits than its factorization.

232230110112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2098 (or 2071 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 232230110112000 its reverse (211011032232), we get a palindrome (232441121144232).

The spelling of 232230110112000 in words is "two hundred thirty-two trillion, two hundred thirty billion, one hundred ten million, one hundred twelve thousand".