| Base | Representation |
|---|---|
| bin | 100000001101111101101… |
| … | …100111011100110100000 |
| 3 | 21211122202122202101020100 |
| 4 | 200031331230323212200 |
| 5 | 242233301333303104 |
| 6 | 4413034433542400 |
| 7 | 315646256510406 |
| oct | 40157554734640 |
| 9 | 7748678671210 |
| 10 | 2214017087904 |
| 11 | 783a60a21656 |
| 12 | 2b9111a14a00 |
| 13 | 130a1c8961ab |
| 14 | 79232415476 |
| 15 | 3c8d1d0d139 |
| hex | 2037db3b9a0 |
2214017087904 has 144 divisors (see below), whose sum is σ = 6372692359488. Its totient is φ = 729057079296.
The previous prime is 2214017087903. The next prime is 2214017087923. The reversal of 2214017087904 is 4097807104122.
2214017087904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-2 number, since 2×22140170879042 (a number of 25 digits) contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 2214017087904.
It is not an unprimeable number, because it can be changed into a prime (2214017087903) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15208549 + ... + 15353435.
It is an arithmetic number, because the mean of its divisors is an integer number (44254808052).
Almost surely, 22214017087904 is an apocalyptic number.
2214017087904 is a gapful number since it is divisible by the number (24) 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 2214017087904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3186346179744).
2214017087904 is an abundant number, since it is smaller than the sum of its proper divisors (4158675271584).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2214017087904 is a wasteful number, since it uses less digits than its factorization.
2214017087904 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 145547 (or 145536 counting only the distinct ones).
The product of its (nonzero) digits is 225792, while the sum is 45.
The spelling of 2214017087904 in words is "two trillion, two hundred fourteen billion, seventeen million, eighty-seven thousand, nine hundred four".
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