Search a number
-
+
3212203220 = 2254119320297
BaseRepresentation
bin1011111101110110…
…0101010011010100
322021212022211102122
42333131211103110
523034311000340
61250424355112
7142413163652
oct27735452324
98255284378
103212203220
1113a9228906
12757915a98
133c2652185
14226883dd2
1513c00ddb5
hexbf7654d4

3212203220 has 48 divisors (see below), whose sum is σ = 6946300368. Its totient is φ = 1246986240.

The previous prime is 3212203147. The next prime is 3212203223. The reversal of 3212203220 is 223022123.

It can be written as a sum of positive squares in 8 ways, for example, as 737339716 + 2474863504 = 27154^2 + 49748^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3212203223) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 148112 + ... + 168408.

It is an arithmetic number, because the mean of its divisors is an integer number (144714591).

Almost surely, 23212203220 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 3212203220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3473150184).

3212203220 is an abundant number, since it is smaller than the sum of its proper divisors (3734097148).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3212203220 is a wasteful number, since it uses less digits than its factorization.

3212203220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20540 (or 20538 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 3212203220 is about 56676.3021023779. The cubic root of 3212203220 is about 1475.4834336078.

Adding to 3212203220 its reverse (223022123), we get a palindrome (3435225343).

The spelling of 3212203220 in words is "three billion, two hundred twelve million, two hundred three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 164 193 205 386 410 772 820 965 1930 3860 7913 15826 20297 31652 39565 40594 79130 81188 101485 158260 202970 405940 832177 1664354 3328708 3917321 4160885 7834642 8321770 15669284 16643540 19586605 39173210 78346420 160610161 321220322 642440644 803050805 1606101610 3212203220