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212230334404032 = 263735715643857
BaseRepresentation
bin110000010000010110111001…
…101100010101010111000000
31000211110000120220112020022220
4300100112321230111113000
5210304140211101412112
62031213134125131040
762463064350423000
oct6020267154252700
91024400526466286
10212230334404032
1161694419a3504a
121b9777b16b9a80
139156308718219
143a5a0082da000
1519808e85b598c
hexc105b9b155c0

212230334404032 has 224 divisors, whose sum is σ = 655987872883200. Its totient is φ = 60531032862720.

The previous prime is 212230334404021. The next prime is 212230334404037. The reversal of 212230334404032 is 230404433032212.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 212230334403984 and 212230334404002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212230334404037) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34781848 + ... + 40425704.

Almost surely, 2212230334404032 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 212230334404032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327993936441600).

212230334404032 is an abundant number, since it is smaller than the sum of its proper divisors (443757538479168).

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

212230334404032 is an equidigital number, since it uses as much as digits as its factorization.

212230334404032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5644464 (or 5644440 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 33.

Adding to 212230334404032 its reverse (230404433032212), we get a palindrome (442634767436244).

The spelling of 212230334404032 in words is "two hundred twelve trillion, two hundred thirty billion, three hundred thirty-four million, four hundred four thousand, thirty-two".