Base | Representation |
---|---|
bin | 1101100001011111111… |
… | …0010110010110000000 |
3 | 211012200111201221022110 |
4 | 3120113332112112000 |
5 | 12301303044020100 |
6 | 254421531535320 |
7 | 22533236164362 |
oct | 3302776262600 |
9 | 735614657273 |
10 | 232330454400 |
11 | 8a592537100 |
12 | 3903abba540 |
13 | 18ba7460175 |
14 | b35dc44d32 |
15 | 609b988250 |
hex | 3617f96580 |
232330454400 has 288 divisors, whose sum is σ = 841134054600. Its totient is φ = 56322252800.
The previous prime is 232330454359. The next prime is 232330454471. The reversal of 232330454400 is 4454033232.
232330454400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (30).
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 35 ways as a sum of consecutive naturals, for example, 1061596 + ... + 1261604.
Almost surely, 2232330454400 is an apocalyptic number.
232330454400 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 232330454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420567027300).
232330454400 is an abundant number, since it is smaller than the sum of its proper divisors (608803600200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
232330454400 is a wasteful number, since it uses less digits than its factorization.
232330454400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 200058 (or 200030 counting only the distinct ones).
The product of its (nonzero) digits is 34560, while the sum is 30.
Adding to 232330454400 its reverse (4454033232), we get a palindrome (236784487632).
The spelling of 232330454400 in words is "two hundred thirty-two billion, three hundred thirty million, four hundred fifty-four thousand, four hundred".
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