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232003002000 = 24353711502171
BaseRepresentation
bin1101100000010001110…
…1001101111010010000
3211011211200120122001210
43120010131031322100
512300120232031000
6254325233300120
722522151656560
oct3300435157220
9734750518053
10232003002000
118a434712290
1238b69404640
1318b5466cb53
14b32c566da0
15607cd55350
hex360474de90

232003002000 has 320 divisors, whose sum is σ = 932545456128. Its totient is φ = 48208320000.

The previous prime is 232003001977. The next prime is 232003002013. The reversal of 232003002000 is 200300232.

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

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, 210915 + ... + 713085.

Almost surely, 2232003002000 is an apocalyptic number.

232003002000 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 232003002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466272728064).

232003002000 is an abundant number, since it is smaller than the sum of its proper divisors (700542454128).

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

232003002000 is a wasteful number, since it uses less digits than its factorization.

232003002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502215 (or 502199 counting only the distinct ones).

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

Adding to 232003002000 its reverse (200300232), we get a palindrome (232203302232).

The spelling of 232003002000 in words is "two hundred thirty-two billion, three million, two thousand".