Base | Representation |
---|---|
bin | 1100111111111001100… |
… | …0010100011010100000 |
3 | 210100101221021021112102 |
4 | 3033332120110122200 |
5 | 12124320121320112 |
6 | 250330540145532 |
7 | 22063600126040 |
oct | 3177630243240 |
9 | 710357237472 |
10 | 223311120032 |
11 | 8678433a760 |
12 | 373425382a8 |
13 | 1809a9a0720 |
14 | ab46039720 |
15 | 5c1ec3cbc2 |
hex | 33fe6146a0 |
223311120032 has 192 divisors, whose sum is σ = 591468127488. Its totient is φ = 80151552000.
The previous prime is 223311119981. The next prime is 223311120041. The reversal of 223311120032 is 230021113322.
223311120032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a junction number, because it is equal to n+sod(n) for n = 223311119986 and 223311120013.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16681982 + ... + 16695362.
It is an arithmetic number, because the mean of its divisors is an integer number (3080563164).
Almost surely, 2223311120032 is an apocalyptic number.
223311120032 is a gapful number since it is divisible by the number (22) 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 223311120032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295734063744).
223311120032 is an abundant number, since it is smaller than the sum of its proper divisors (368157007456).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223311120032 is a wasteful number, since it uses less digits than its factorization.
223311120032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 13943 (or 13935 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 20.
Adding to 223311120032 its reverse (230021113322), we get a palindrome (453332233354).
It can be divided in two parts, 223311 and 120032, that added together give a palindrome (343343).
The spelling of 223311120032 in words is "two hundred twenty-three billion, three hundred eleven million, one hundred twenty thousand, thirty-two".
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