| Base | Representation |
|---|---|
| bin | 111100001111001… |
| … | …0100100011010100 |
| 3 | 12012212021022221100 |
| 4 | 1320132110203110 |
| 5 | 13114412330140 |
| 6 | 532321350100 |
| 7 | 101042016261 |
| oct | 17036244324 |
| 9 | 5185238840 |
| 10 | 2021214420 |
| 11 | 947a17345 |
| 12 | 484a98330 |
| 13 | 262994484 |
| 14 | 15261c268 |
| 15 | bc6a3530 |
| hex | 787948d4 |
2021214420 has 72 divisors (see below), whose sum is σ = 6157458216. Its totient is φ = 536666112.
The previous prime is 2021214409. The next prime is 2021214449. The reversal of 2021214420 is 244121202.
2021214420 is a `hidden beast` number, since 20 + 212 + 14 + 420 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 168428484 + 1852785936 = 12978^2 + 43044^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 2021214393 and 2021214402.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17844 + ... + 66036.
It is an arithmetic number, because the mean of its divisors is an integer number (85520253).
Almost surely, 22021214420 is an apocalyptic number.
2021214420 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 2021214420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3078729108).
2021214420 is an abundant number, since it is smaller than the sum of its proper divisors (4136243796).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2021214420 is a wasteful number, since it uses less digits than its factorization.
2021214420 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 48441 (or 48436 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 18.
The square root of 2021214420 is about 44957.9183236947. The cubic root of 2021214420 is about 1264.3601402951.
Adding to 2021214420 its reverse (244121202), we get a palindrome (2265335622).
The spelling of 2021214420 in words is "two billion, twenty-one million, two hundred fourteen thousand, four hundred twenty".
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