Base | Representation |
---|---|
bin | 100111101101000… |
… | …1000010110010000 |
3 | 10102211212022102121 |
4 | 1033122020112100 |
5 | 10212024000000 |
6 | 340110424024 |
7 | 45004636534 |
oct | 11732102620 |
9 | 3384768377 |
10 | 1332250000 |
11 | 624025164 |
12 | 312202014 |
13 | 18301a113 |
14 | c8d17bc4 |
15 | 7be60b1a |
hex | 4f688590 |
1332250000 has 105 divisors (see below), whose sum is σ = 3271305783. Its totient is φ = 525600000.
The previous prime is 1332249911. The next prime is 1332250001. The reversal of 1332250000 is 522331.
The square root of 1332250000 is 36500.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in 10 ways, for example, as 1168819344 + 163430656 = 34188^2 + 12784^2 .
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (1332250001) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 18249964 + ... + 18250036.
Almost surely, 21332250000 is an apocalyptic number.
1332250000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
1332250000 is the 36500-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1332250000
1332250000 is an abundant number, since it is smaller than the sum of its proper divisors (1939055783).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1332250000 is an frugal number, since it uses more digits than its factorization.
1332250000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 184 (or 80 counting only the distinct ones).
The product of its (nonzero) digits is 180, while the sum is 16.
The cubic root of 1332250000 is about 1100.3442448744.
Multiplying 1332250000 by its sum of digits (16), we get a square (21316000000 = 1460002).
1332250000 divided by its sum of digits (16) gives a square (83265625 = 91252).
Adding to 1332250000 its reverse (522331), we get a palindrome (1332772331).
The spelling of 1332250000 in words is "one billion, three hundred thirty-two million, two hundred fifty thousand".
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