Base | Representation |
---|---|
bin | 100001011101000100000… |
… | …000011110110000000000 |
3 | 22010202222200011010110000 |
4 | 201131010000132300000 |
5 | 300131221302330000 |
6 | 4520042232240000 |
7 | 325044041441424 |
oct | 41350400366000 |
9 | 8122880133400 |
10 | 2298948480000 |
11 | 806a84535597 |
12 | 311675240000 |
13 | 138a365878a3 |
14 | 7d3ac0b2b84 |
15 | 3ec031d0000 |
hex | 2174401ec00 |
2298948480000 has 1100 divisors, whose sum is σ = 8731267937392. Its totient is φ = 602173440000.
The previous prime is 2298948479987. The next prime is 2298948480001. The reversal of 2298948480000 is 848498922.
2298948480000 is a `hidden beast` number, since 2 + 2 + 9 + 89 + 484 + 80 + 0 + 0 + 0 = 666.
It is a super-2 number, since 2×22989484800002 (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 not an unprimeable number, because it can be changed into a prime (2298948480001) by changing a digit.
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 99 ways as a sum of consecutive naturals, for example, 3162239637 + ... + 3162240363.
Almost surely, 22298948480000 is an apocalyptic number.
2298948480000 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 2298948480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4365633968696).
2298948480000 is an abundant number, since it is smaller than the sum of its proper divisors (6432319457392).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2298948480000 is an frugal number, since it uses more digits than its factorization.
2298948480000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 840 (or 798 counting only the distinct ones).
The product of its (nonzero) digits is 2654208, while the sum is 54.
The spelling of 2298948480000 in words is "two trillion, two hundred ninety-eight billion, nine hundred forty-eight million, four hundred eighty thousand".
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