Base | Representation |
---|---|
bin | 1101100010110001011… |
… | …0000111111001011000 |
3 | 211020120022211222200001 |
4 | 3120230112013321120 |
5 | 12303003042343000 |
6 | 254515501222344 |
7 | 22544556221536 |
oct | 3305426077130 |
9 | 736508758601 |
10 | 232672231000 |
11 | 8a748454a00 |
12 | 391155619b4 |
13 | 18c301c7341 |
14 | b3933b1156 |
15 | 60bb99a46a |
hex | 362c587e58 |
232672231000 has 384 divisors, whose sum is σ = 617380807680. Its totient is φ = 81972000000.
The previous prime is 232672230979. The next prime is 232672231013. The reversal of 232672231000 is 132276232.
232672231000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×2326722310002 (a number of 24 digits) contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 232672231000.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 926980875 + ... + 926981125.
It is an arithmetic number, because the mean of its divisors is an integer number (1607762520).
Almost surely, 2232672231000 is an apocalyptic number.
232672231000 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 232672231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308690403840).
232672231000 is an abundant number, since it is smaller than the sum of its proper divisors (384708576680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
232672231000 is a wasteful number, since it uses less digits than its factorization.
232672231000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 504 (or 479 counting only the distinct ones).
The product of its (nonzero) digits is 6048, while the sum is 28.
The spelling of 232672231000 in words is "two hundred thirty-two billion, six hundred seventy-two million, two hundred thirty-one thousand".
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