| Base | Representation |
|---|---|
| bin | 10001011100011… |
| … | …01010101111000 |
| 3 | 101012100101101200 |
| 4 | 20232031111320 |
| 5 | 244430043000 |
| 6 | 22304214200 |
| 7 | 3424535664 |
| oct | 1056152570 |
| 9 | 335311350 |
| 10 | 146331000 |
| 11 | 75666712 |
| 12 | 4100a360 |
| 13 | 24415bba |
| 14 | 156118a4 |
| 15 | cca7500 |
| hex | 8b8d578 |
146331000 has 192 divisors, whose sum is σ = 503755200. Its totient is φ = 38304000.
The previous prime is 146330971. The next prime is 146331001. The reversal of 146331000 is 133641.
146331000 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 2×1463310002 = 42825523122000000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a nialpdrome in base 15.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (146331001) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 638886 + ... + 639114.
It is an arithmetic number, because the mean of its divisors is an integer number (2623725).
Almost surely, 2146331000 is an apocalyptic number.
146331000 is a gapful number since it is divisible by the number (10) 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 146331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251877600).
146331000 is an abundant number, since it is smaller than the sum of its proper divisors (357424200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
146331000 is a wasteful number, since it uses less digits than its factorization.
146331000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 327 (or 310 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
The square root of 146331000 is about 12096.7350967110. The cubic root of 146331000 is about 526.9613707857.
Adding to 146331000 its reverse (133641), we get a palindrome (146464641).
The spelling of 146331000 in words is "one hundred forty-six million, three hundred thirty-one thousand".
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