| Base | Representation |
|---|---|
| bin | 1100000000111100… |
| … | …0111011111110100 |
| 3 | 22022202202112200000 |
| 4 | 3000033013133310 |
| 5 | 23101122011330 |
| 6 | 1252010551300 |
| 7 | 142631435313 |
| oct | 30017073764 |
| 9 | 8282675600 |
| 10 | 3225188340 |
| 11 | 1405597810 |
| 12 | 760138530 |
| 13 | 3c524a68a |
| 14 | 2284a427a |
| 15 | 13d226560 |
| hex | c03c77f4 |
3225188340 has 576 divisors, whose sum is σ = 12011231232. Its totient is φ = 718502400.
The previous prime is 3225188251. The next prime is 3225188341. The reversal of 3225188340 is 438815223.
3225188340 is a `hidden beast` number, since 3 + 22 + 518 + 83 + 40 = 666.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 3225188295 and 3225188304.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (3225188341) 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 191 ways as a sum of consecutive naturals, for example, 52871910 + ... + 52871970.
It is an arithmetic number, because the mean of its divisors is an integer number (20852832).
Almost surely, 23225188340 is an apocalyptic number.
3225188340 is a gapful number since it is divisible by the number (30) 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 3225188340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6005615616).
3225188340 is an abundant number, since it is smaller than the sum of its proper divisors (8786042892).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3225188340 is a wasteful number, since it uses less digits than its factorization.
3225188340 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 162 (or 148 counting only the distinct ones).
The product of its (nonzero) digits is 46080, while the sum is 36.
The square root of 3225188340 is about 56790.7416750301. The cubic root of 3225188340 is about 1477.4689421182.
The spelling of 3225188340 in words is "three billion, two hundred twenty-five million, one hundred eighty-eight thousand, three hundred forty".
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