| Base | Representation |
|---|---|
| bin | 1100011110001101100… |
| … | …0100000100010000000 |
| 3 | 202111001201111220020000 |
| 4 | 3013203120200202000 |
| 5 | 12002310133001430 |
| 6 | 242233344120000 |
| 7 | 21323524035132 |
| oct | 3074330404200 |
| 9 | 674051456200 |
| 10 | 214268250240 |
| 11 | 82963928850 |
| 12 | 3563a006000 |
| 13 | 172893905b5 |
| 14 | a529065052 |
| 15 | 5890de3e60 |
| hex | 31e3620880 |
214268250240 has 1920 divisors, whose sum is σ = 952995922560. Its totient is φ = 45254246400.
The previous prime is 214268250239. The next prime is 214268250283. The reversal of 214268250240 is 42052862412.
214268250240 is a `hidden beast` number, since 2 + 14 + 26 + 82 + 502 + 40 = 666.
It is a tau number, because it is divible by the number of its divisors (1920).
It is a super-2 number, since 2×2142682502402 (a number of 23 digits) contains 22 as substring.
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 = 214268250195 and 214268250204.
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 239 ways as a sum of consecutive naturals, for example, 6911879025 + ... + 6911879055.
It is an arithmetic number, because the mean of its divisors is an integer number (496352043).
Almost surely, 2214268250240 is an apocalyptic number.
214268250240 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 214268250240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476497961280).
214268250240 is an abundant number, since it is smaller than the sum of its proper divisors (738727672320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
214268250240 is a wasteful number, since it uses less digits than its factorization.
214268250240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 144 (or 92 counting only the distinct ones).
The product of its (nonzero) digits is 61440, while the sum is 36.
The spelling of 214268250240 in words is "two hundred fourteen billion, two hundred sixty-eight million, two hundred fifty thousand, two hundred forty".
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