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232214342010432 = 26323293209565057
BaseRepresentation
bin110100110011001010011101…
…010111100000011001000000
31010110012110210202110222012120
4310303022131113200121000
5220414044433023313212
62141513443534524240
766624634604364435
oct6463123527403100
91113173722428176
10232214342010432
1167a99605282071
1222064841366680
139c759456a9c62
14414b33c605b8c
151bca66445988c
hexd3329d5e0640

232214342010432 has 224 divisors, whose sum is σ = 663428721196800. Its totient is φ = 71463870922752.

The previous prime is 232214342010419. The next prime is 232214342010437. The reversal of 232214342010432 is 234010243412232.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 232214342010393 and 232214342010402.

It is not an unprimeable number, because it can be changed into a prime (232214342010437) 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, 410674848 + ... + 411239904.

Almost surely, 2232214342010432 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 232214342010432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331714360598400).

232214342010432 is an abundant number, since it is smaller than the sum of its proper divisors (431214379186368).

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

232214342010432 is a wasteful number, since it uses less digits than its factorization.

232214342010432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568333 (or 568323 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 232214342010432 its reverse (234010243412232), we get a palindrome (466224585422664).

The spelling of 232214342010432 in words is "two hundred thirty-two trillion, two hundred fourteen billion, three hundred forty-two million, ten thousand, four hundred thirty-two".