| Base | Representation |
|---|---|
| bin | 11011110110111… |
| … | …10100011010000 |
| 3 | 121021201221212200 |
| 4 | 31323132203100 |
| 5 | 434311223230 |
| 6 | 35104523200 |
| 7 | 5535243546 |
| oct | 1573364320 |
| 9 | 537657780 |
| 10 | 233695440 |
| 11 | 10aa07930 |
| 12 | 66320500 |
| 13 | 39554334 |
| 14 | 23073d96 |
| 15 | 157b3160 |
| hex | dede8d0 |
233695440 has 240 divisors, whose sum is σ = 901817280. Its totient is φ = 53637120.
The previous prime is 233695439. The next prime is 233695487. The reversal of 233695440 is 44596332.
It is a tau number, because it is divible by the number of its divisors (240).
It is a super-2 number, since 2×2336954402 = 109227117353587200, which contains 22 as substring.
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct 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 = 233695395 and 233695404.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 149704 + ... + 151256.
It is an arithmetic number, because the mean of its divisors is an integer number (3757572).
Almost surely, 2233695440 is an apocalyptic number.
233695440 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 233695440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450908640).
233695440 is an abundant number, since it is smaller than the sum of its proper divisors (668121840).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
233695440 is a wasteful number, since it uses less digits than its factorization.
233695440 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1602 (or 1593 counting only the distinct ones).
The product of its (nonzero) digits is 77760, while the sum is 36.
The square root of 233695440 is about 15287.1004444924. The cubic root of 233695440 is about 615.9565522850.
The spelling of 233695440 in words is "two hundred thirty-three million, six hundred ninety-five thousand, four hundred forty".
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