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232300002000 = 243531117207041
BaseRepresentation
bin1101100001011000101…
…0001011101011010000
3211012121101102210110210
43120112022023223100
512301222300031000
6254414523124120
722532416303023
oct3302612135320
9735541383423
10232300002000
118a577327830
1239030973640
1318ba105a2b1
14b359b991ba
156098e70350
hex361628bad0

232300002000 has 320 divisors, whose sum is σ = 865084416768. Its totient is φ = 53002240000.

The previous prime is 232300001993. The next prime is 232300002041. The reversal of 232300002000 is 200003232.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1018480 + ... + 1225520.

Almost surely, 2232300002000 is an apocalyptic number.

232300002000 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 232300002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432542208384).

232300002000 is an abundant number, since it is smaller than the sum of its proper divisors (632784414768).

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

232300002000 is a wasteful number, since it uses less digits than its factorization.

232300002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207095 (or 207079 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

Adding to 232300002000 its reverse (200003232), we get a palindrome (232500005232).

The spelling of 232300002000 in words is "two hundred thirty-two billion, three hundred million, two thousand".