Base | Representation |
---|---|
bin | 11100000001010… |
… | …00000000000000 |
3 | 121101021111221100 |
4 | 32000220000000 |
5 | 440132413424 |
6 | 35153454400 |
7 | 5552563665 |
oct | 1600500000 |
9 | 541244840 |
10 | 235044864 |
11 | 11074975a |
12 | 66871400 |
13 | 39907602 |
14 | 23305a6c |
15 | 1597cdc9 |
hex | e028000 |
235044864 has 96 divisors (see below), whose sum is σ = 679860090. Its totient is φ = 78249984.
The previous prime is 235044853. The next prime is 235044919. The reversal of 235044864 is 468440532.
It can be written as a sum of positive squares in only one way, i.e., 201867264 + 33177600 = 14208^2 + 5760^2 .
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-3 number, since 3×2350448643 (a number of 26 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (5) of ones.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 294514 + ... + 295310.
Almost surely, 2235044864 is an apocalyptic number.
235044864 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 235044864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339930045).
235044864 is an abundant number, since it is smaller than the sum of its proper divisors (444815226).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
235044864 is an frugal number, since it uses more digits than its factorization.
235044864 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 833 (or 802 counting only the distinct ones).
The product of its (nonzero) digits is 92160, while the sum is 36.
The square root of 235044864 is about 15331.1729492560. The cubic root of 235044864 is about 617.1398471341.
The spelling of 235044864 in words is "two hundred thirty-five million, forty-four thousand, eight hundred sixty-four".
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