Base | Representation |
---|---|
bin | 1000010101000110… |
… | …0001001001111100 |
3 | 12202211100122012200 |
4 | 2011101201021330 |
5 | 14034401240410 |
6 | 1005512231500 |
7 | 106260235410 |
oct | 20521411174 |
9 | 5684318180 |
10 | 2235961980 |
11 | a4816236a |
12 | 52499b590 |
13 | 298313235 |
14 | 172d5cd40 |
15 | d14723c0 |
hex | 8546127c |
2235961980 has 144 divisors (see below), whose sum is σ = 7763019264. Its totient is φ = 510307200.
The previous prime is 2235961979. The next prime is 2235961991. The reversal of 2235961980 is 891695322.
2235961980 is a `hidden beast` number, since 2 + 23 + 5 + 9 + 619 + 8 + 0 = 666.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1540255 + ... + 1541705.
It is an arithmetic number, because the mean of its divisors is an integer number (53909856).
Almost surely, 22235961980 is an apocalyptic number.
2235961980 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 2235961980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3881509632).
2235961980 is an abundant number, since it is smaller than the sum of its proper divisors (5527057284).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2235961980 is a wasteful number, since it uses less digits than its factorization.
2235961980 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2696 (or 2691 counting only the distinct ones).
The product of its (nonzero) digits is 233280, while the sum is 45.
The square root of 2235961980 is about 47285.9596497734. The cubic root of 2235961980 is about 1307.6398231140.
The spelling of 2235961980 in words is "two billion, two hundred thirty-five million, nine hundred sixty-one thousand, nine hundred eighty".
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