| Base | Representation |
|---|---|
| bin | 1000001001000110… |
| … | …1111111110100000 |
| 3 | 12122022202121110000 |
| 4 | 2002101233332200 |
| 5 | 13434014103130 |
| 6 | 1000514540000 |
| 7 | 105110032041 |
| oct | 20221577640 |
| 9 | 5568677400 |
| 10 | 2185691040 |
| 11 | a21847035 |
| 12 | 50bb97600 |
| 13 | 28aa91710 |
| 14 | 16a3d48c8 |
| 15 | cbd42260 |
| hex | 8246ffa0 |
2185691040 has 240 divisors, whose sum is σ = 8307667368. Its totient is φ = 537974784.
The previous prime is 2185690993. The next prime is 2185691059. The reversal of 2185691040 is 401965812.
It can be written as a sum of positive squares in 4 ways, for example, as 597509136 + 1588181904 = 24444^2 + 39852^2 .
It is a tau number, because it is divible by the number of its divisors (240).
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 = 2185690986 and 2185691004.
It is an unprimeable number.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 161994 + ... + 174966.
Almost surely, 22185691040 is an apocalyptic number.
2185691040 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 2185691040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4153833684).
2185691040 is an abundant number, since it is smaller than the sum of its proper divisors (6121976328).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2185691040 is a wasteful number, since it uses less digits than its factorization.
2185691040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 13013 (or 12996 counting only the distinct ones).
The product of its (nonzero) digits is 17280, while the sum is 36.
The square root of 2185691040 is about 46751.3747391454. The cubic root of 2185691040 is about 1297.7655976717.
It can be divided in two parts, 21856 and 91040, that added together give a square (112896 = 3362).
The spelling of 2185691040 in words is "two billion, one hundred eighty-five million, six hundred ninety-one thousand, forty".
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