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234232305512000 = 2653313421222193
BaseRepresentation
bin110101010000100001110101…
…010111010110111001000000
31010201100101112002211020202112
4311100201311113112321000
5221200130230202341000
62150100500300034452
7100223503613212265
oct6520416527267100
91121311462736675
10234232305512000
11686a73aa046514
122232b959232a28
13a09101c732aa3
1441bac92b0126c
151c12dbe4d1235
hexd508755d6e40

234232305512000 has 224 divisors, whose sum is σ = 583314464320224. Its totient is φ = 93171326976000.

The previous prime is 234232305511999. The next prime is 234232305512021. The reversal of 234232305512000 is 215503232432.

It can be written as a sum of positive squares in 16 ways, for example, as 224738955759616 + 9493349752384 = 14991296^2 + 3081128^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1054072904 + ... + 1054295096.

It is an arithmetic number, because the mean of its divisors is an integer number (2604082430001).

Almost surely, 2234232305512000 is an apocalyptic number.

234232305512000 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 234232305512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291657232160112).

234232305512000 is an abundant number, since it is smaller than the sum of its proper divisors (349082158808224).

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

234232305512000 is a wasteful number, since it uses less digits than its factorization.

234232305512000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222954 (or 222934 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 32.

Adding to 234232305512000 its reverse (215503232432), we get a palindrome (234447808744432).

The spelling of 234232305512000 in words is "two hundred thirty-four trillion, two hundred thirty-two billion, three hundred five million, five hundred twelve thousand".