Base | Representation |
---|---|
bin | 100000011101100010101… |
… | …010101011110011000000 |
3 | 21220020221100020012220220 |
4 | 200131202222223303000 |
5 | 243022030301230412 |
6 | 4424442300303040 |
7 | 320110620621000 |
oct | 40354252536300 |
9 | 7806840205826 |
10 | 2230743383232 |
11 | 790064536921 |
12 | 3003bb541a80 |
13 | 132486c67470 |
14 | 79d7ba08000 |
15 | 3d06046c68c |
hex | 20762aabcc0 |
2230743383232 has 448 divisors, whose sum is σ = 7502010700800. Its totient is φ = 581221122048.
The previous prime is 2230743383207. The next prime is 2230743383249. The reversal of 2230743383232 is 2323833470322.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (448).
It is a super-3 number, since 3×22307433832323 (a number of 38 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (42).
It is an unprimeable number.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71042928 + ... + 71074320.
It is an arithmetic number, because the mean of its divisors is an integer number (16745559600).
Almost surely, 22230743383232 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2230743383232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3751005350400).
2230743383232 is an abundant number, since it is smaller than the sum of its proper divisors (5271267317568).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2230743383232 is a wasteful number, since it uses less digits than its factorization.
2230743383232 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 31525 (or 31501 counting only the distinct ones).
The product of its (nonzero) digits is 870912, while the sum is 42.
The spelling of 2230743383232 in words is "two trillion, two hundred thirty billion, seven hundred forty-three million, three hundred eighty-three thousand, two hundred thirty-two".
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