Base | Representation |
---|---|
bin | 100000011111000110000… |
… | …001100011110010110000 |
3 | 21220102020111212120222012 |
4 | 200133012001203302300 |
5 | 243033434020333034 |
6 | 4425315524502052 |
7 | 320200131444020 |
oct | 40370601436260 |
9 | 7812214776865 |
10 | 2232410324144 |
11 | 79083a47a240 |
12 | 3007a584a928 |
13 | 13269140a530 |
14 | 7a099165a80 |
15 | 3d10b990cce |
hex | 207c6063cb0 |
2232410324144 has 160 divisors (see below), whose sum is σ = 5809068195840. Its totient is φ = 802632729600.
The previous prime is 2232410324119. The next prime is 2232410324149. The reversal of 2232410324144 is 4414230142322.
It is a happy number.
It is a super-3 number, since 3×22324103241443 (a number of 38 digits) contains 333 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 2232410324144.
It is not an unprimeable number, because it can be changed into a prime (2232410324149) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61178897 + ... + 61215375.
It is an arithmetic number, because the mean of its divisors is an integer number (36306676224).
Almost surely, 22232410324144 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 2232410324144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2904534097920).
2232410324144 is an abundant number, since it is smaller than the sum of its proper divisors (3576657871696).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2232410324144 is a wasteful number, since it uses less digits than its factorization.
2232410324144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 40339 (or 40333 counting only the distinct ones).
The product of its (nonzero) digits is 36864, while the sum is 32.
Adding to 2232410324144 its reverse (4414230142322), we get a palindrome (6646640466466).
The spelling of 2232410324144 in words is "two trillion, two hundred thirty-two billion, four hundred ten million, three hundred twenty-four thousand, one hundred forty-four".
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