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229307143930440 = 233517533221658447
BaseRepresentation
bin110100001000110110111010…
…110110111100001001001000
31010001220112211010101200112220
4310020312322312330021020
5220023432012321233230
62131410125254334040
766204615535420032
oct6410667266741110
91101815733350486
10229307143930440
11670786827a6454
122187531665a320
139ac475631c474
14408a74c7b0c52
151b79c1205ad10
hexd08dbadbc248

229307143930440 has 256 divisors, whose sum is σ = 742362088043520. Its totient is φ = 56448101498880.

The previous prime is 229307143930439. The next prime is 229307143930531. The reversal of 229307143930440 is 44039341703922.

It is a super-2 number, since 2×2293071439304402 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 347925297 + ... + 348583743.

It is an arithmetic number, because the mean of its divisors is an integer number (2899851906420).

Almost surely, 2229307143930440 is an apocalyptic number.

229307143930440 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 229307143930440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371181044021760).

229307143930440 is an abundant number, since it is smaller than the sum of its proper divisors (513054944113080).

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

229307143930440 is a wasteful number, since it uses less digits than its factorization.

229307143930440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661752 (or 661748 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 51.

The spelling of 229307143930440 in words is "two hundred twenty-nine trillion, three hundred seven billion, one hundred forty-three million, nine hundred thirty thousand, four hundred forty".