| Base | Representation |
|---|---|
| bin | 1000010100001100… |
| … | …1011000001100000 |
| 3 | 12202120021120112200 |
| 4 | 2011003023001200 |
| 5 | 14032420420222 |
| 6 | 1005255453200 |
| 7 | 106213253355 |
| oct | 20503130140 |
| 9 | 5676246480 |
| 10 | 2232201312 |
| 11 | a46023980 |
| 12 | 523687200 |
| 13 | 2975c75a3 |
| 14 | 17266062c |
| 15 | d0e7ceac |
| hex | 850cb060 |
2232201312 has 144 divisors (see below), whose sum is σ = 6944071680. Its totient is φ = 674553600.
The previous prime is 2232201277. The next prime is 2232201319. The reversal of 2232201312 is 2131022322.
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-3 number, since 3×22322013123 (a number of 29 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2232201319) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1516737 + ... + 1518207.
It is an arithmetic number, because the mean of its divisors is an integer number (48222720).
Almost surely, 22232201312 is an apocalyptic number.
2232201312 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 2232201312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3472035840).
2232201312 is an abundant number, since it is smaller than the sum of its proper divisors (4711870368).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2232201312 is a wasteful number, since it uses less digits than its factorization.
2232201312 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1977 (or 1966 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
The square root of 2232201312 is about 47246.1777501630. The cubic root of 2232201312 is about 1306.9063045608.
Adding to 2232201312 its reverse (2131022322), we get a palindrome (4363223634).
The spelling of 2232201312 in words is "two billion, two hundred thirty-two million, two hundred one thousand, three hundred twelve".
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