Base | Representation |
---|---|
bin | 1100000000001100… |
… | …0011001100101000 |
3 | 22022112210211101021 |
4 | 3000003003030220 |
5 | 23044314300000 |
6 | 1251415102224 |
7 | 142562521615 |
oct | 30003031450 |
9 | 8275724337 |
10 | 3222025000 |
11 | 1403827087 |
12 | 75b071974 |
13 | 3c46b088c |
14 | 227cbd50c |
15 | 13ccee11a |
hex | c00c3328 |
3222025000 has 72 divisors (see below), whose sum is σ = 7572230190. Its totient is φ = 1285220000.
The previous prime is 3222024947. The next prime is 3222025007. The reversal of 3222025000 is 5202223.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It can be written as a sum of positive squares in 3 ways, for example, as 4639716 + 3217385284 = 2154^2 + 56722^2 .
It is not an unprimeable number, because it can be changed into a prime (3222025007) by changing a digit.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8974821 + ... + 8975179.
Almost surely, 23222025000 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 3222025000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3786115095).
3222025000 is an abundant number, since it is smaller than the sum of its proper divisors (4350205190).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3222025000 is an frugal number, since it uses more digits than its factorization.
3222025000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 749 (or 366 counting only the distinct ones).
The product of its (nonzero) digits is 240, while the sum is 16.
The square root of 3222025000 is about 56762.8840000224. The cubic root of 3222025000 is about 1476.9857387638.
Adding to 3222025000 its reverse (5202223), we get a palindrome (3227227223).
The spelling of 3222025000 in words is "three billion, two hundred twenty-two million, twenty-five thousand".
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