| Base | Representation |
|---|---|
| bin | 11100011011111… |
| … | …00010111010000 |
| 3 | 121121211220002000 |
| 4 | 32031330113100 |
| 5 | 442031124034 |
| 6 | 35400354000 |
| 7 | 5624344440 |
| oct | 1615742720 |
| 9 | 547756060 |
| 10 | 238536144 |
| 11 | 112713810 |
| 12 | 67a75900 |
| 13 | 3a55a762 |
| 14 | 23974120 |
| 15 | 15e1c599 |
| hex | e37c5d0 |
238536144 has 320 divisors, whose sum is σ = 874229760. Its totient is φ = 60480000.
The previous prime is 238536131. The next prime is 238536167. The reversal of 238536144 is 441635832.
238536144 is a `hidden beast` number, since 2 + 38 + 5 + 3 + 614 + 4 = 666.
238536144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 238536099 and 238536108.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2361694 + ... + 2361794.
It is an arithmetic number, because the mean of its divisors is an integer number (2731968).
Almost surely, 2238536144 is an apocalyptic number.
238536144 is a gapful number since it is divisible by the number (24) 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 238536144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437114880).
238536144 is an abundant number, since it is smaller than the sum of its proper divisors (635693616).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
238536144 is a wasteful number, since it uses less digits than its factorization.
238536144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 207 (or 195 counting only the distinct ones).
The product of its digits is 69120, while the sum is 36.
The square root of 238536144 is about 15444.6153723555. The cubic root of 238536144 is about 620.1804400235.
The spelling of 238536144 in words is "two hundred thirty-eight million, five hundred thirty-six thousand, one hundred forty-four".
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