| Base | Representation |
|---|---|
| bin | 1000001010111100… |
| … | …1101111011110000 |
| 3 | 12122212022001222200 |
| 4 | 2002233031323300 |
| 5 | 13443003302140 |
| 6 | 1001352303200 |
| 7 | 105232504413 |
| oct | 20257157360 |
| 9 | 5585261880 |
| 10 | 2193415920 |
| 11 | a26142933 |
| 12 | 5126a1b00 |
| 13 | 28c567857 |
| 14 | 16b445b7a |
| 15 | cc86b030 |
| hex | 82bcdef0 |
2193415920 has 120 divisors (see below), whose sum is σ = 7407359232. Its totient is φ = 581644800.
The previous prime is 2193415901. The next prime is 2193415921. The reversal of 2193415920 is 295143912.
2193415920 is a `hidden beast` number, since 21 + 9 + 3 + 41 + 592 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (120).
It is a super-2 number, since 2×21934159202 = 9622146796218892800, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2193415921) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121905 + ... + 138735.
Almost surely, 22193415920 is an apocalyptic number.
2193415920 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 2193415920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3703679616).
2193415920 is an abundant number, since it is smaller than the sum of its proper divisors (5213943312).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2193415920 is a wasteful number, since it uses less digits than its factorization.
2193415920 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 17031 (or 17022 counting only the distinct ones).
The product of its (nonzero) digits is 19440, while the sum is 36.
The square root of 2193415920 is about 46833.9184779578. The cubic root of 2193415920 is about 1299.2926961078.
The spelling of 2193415920 in words is "two billion, one hundred ninety-three million, four hundred fifteen thousand, nine hundred twenty".
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