Base | Representation |
---|---|
bin | 1000010100110111… |
… | …1001101101110000 |
3 | 12202202120110211022 |
4 | 2011031321231300 |
5 | 14034130422000 |
6 | 1005440035012 |
7 | 106246206542 |
oct | 20515715560 |
9 | 5682513738 |
10 | 2235014000 |
11 | a4767510a |
12 | 524602a68 |
13 | 2980708bb |
14 | 172b93692 |
15 | d1336585 |
hex | 85379b70 |
2235014000 has 80 divisors (see below), whose sum is σ = 5417867520. Its totient is φ = 891756800.
The previous prime is 2235013969. The next prime is 2235014009. The reversal of 2235014000 is 4105322.
2235014000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (80).
It is a self number, because there is not a number n which added to its sum of digits gives 2235014000.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2235014009) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 956834 + ... + 959166.
It is an arithmetic number, because the mean of its divisors is an integer number (67723344).
Almost surely, 22235014000 is an apocalyptic number.
2235014000 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 2235014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2708933760).
2235014000 is an abundant number, since it is smaller than the sum of its proper divisors (3182853520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2235014000 is a wasteful number, since it uses less digits than its factorization.
2235014000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2835 (or 2819 counting only the distinct ones).
The product of its (nonzero) digits is 240, while the sum is 17.
The square root of 2235014000 is about 47275.9346814000. The cubic root of 2235014000 is about 1307.4549971288.
Adding to 2235014000 its reverse (4105322), we get a palindrome (2239119322).
The spelling of 2235014000 in words is "two billion, two hundred thirty-five million, fourteen thousand".
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