Base | Representation |
---|---|
bin | 100001011101000011011… |
… | …110010011100101111000 |
3 | 22010202222001021222120000 |
4 | 201131003132103211320 |
5 | 300131212004141100 |
6 | 4520041312233000 |
7 | 325043602340154 |
oct | 41350336234570 |
9 | 8122861258500 |
10 | 2298939521400 |
11 | 806a7a476895 |
12 | 31167223b760 |
13 | 138a3476c042 |
14 | 7d3aac20064 |
15 | 3ec02510900 |
hex | 21743793978 |
2298939521400 has 960 divisors, whose sum is σ = 8726998579200. Its totient is φ = 559343232000.
The previous prime is 2298939521399. The next prime is 2298939521407. The reversal of 2298939521400 is 41259398922.
2298939521400 is a `hidden beast` number, since 2 + 2 + 9 + 89 + 39 + 521 + 4 + 0 + 0 = 666.
2298939521400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×22989395214002 (a number of 26 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2298939521407) by changing a digit.
It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 626241565 + ... + 626245235.
It is an arithmetic number, because the mean of its divisors is an integer number (9090623520).
Almost surely, 22298939521400 is an apocalyptic number.
2298939521400 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 2298939521400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4363499289600).
2298939521400 is an abundant number, since it is smaller than the sum of its proper divisors (6428059057800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2298939521400 is a wasteful number, since it uses less digits than its factorization.
2298939521400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3802 (or 3784 counting only the distinct ones).
The product of its (nonzero) digits is 2799360, while the sum is 54.
The spelling of 2298939521400 in words is "two trillion, two hundred ninety-eight billion, nine hundred thirty-nine million, five hundred twenty-one thousand, four hundred".
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