Base | Representation |
---|---|
bin | 1000001010001001… |
… | …1010001101011100 |
3 | 12122121222111020120 |
4 | 2002202122031130 |
5 | 13441123331312 |
6 | 1001152314540 |
7 | 105162121500 |
oct | 20242321534 |
9 | 5577874216 |
10 | 2190058332 |
11 | a2425a270 |
12 | 511542a50 |
13 | 28b960507 |
14 | 16ac10300 |
15 | cc40628c |
hex | 8289a35c |
2190058332 has 288 divisors, whose sum is σ = 6949877760. Its totient is φ = 529200000.
The previous prime is 2190058331. The next prime is 2190058369. The reversal of 2190058332 is 2338500912.
It is a Harshad number since it is a multiple of its sum of digits (33).
It is a junction number, because it is equal to n+sod(n) for n = 2190058293 and 2190058302.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2190058331) by changing a digit.
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 95 ways as a sum of consecutive naturals, for example, 8725207 + ... + 8725457.
It is an arithmetic number, because the mean of its divisors is an integer number (24131520).
Almost surely, 22190058332 is an apocalyptic number.
2190058332 is a gapful number since it is divisible by the number (22) 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 2190058332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3474938880).
2190058332 is an abundant number, since it is smaller than the sum of its proper divisors (4759819428).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2190058332 is a wasteful number, since it uses less digits than its factorization.
2190058332 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 373 (or 364 counting only the distinct ones).
The product of its (nonzero) digits is 12960, while the sum is 33.
The square root of 2190058332 is about 46798.0590623158. The cubic root of 2190058332 is about 1298.6293901670.
The spelling of 2190058332 in words is "two billion, one hundred ninety million, fifty-eight thousand, three hundred thirty-two".
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