Search a number
-
+
3212304221 = 72375573181
BaseRepresentation
bin1011111101110111…
…1101111101011101
322021212111221222102
42333131331331131
523034322213341
61250430454445
7142414064300
oct27735757535
98255457872
103212304221
1113a9297785
12757964425
133c2689139
142268acb37
1513c02dc9b
hexbf77df5d

3212304221 has 24 divisors (see below), whose sum is σ = 3845854296. Its totient is φ = 2673336960.

The previous prime is 3212304211. The next prime is 3212304233. The reversal of 3212304221 is 1224032123.

It can be written as a sum of positive squares in 4 ways, for example, as 48804196 + 3163500025 = 6986^2 + 56245^2 .

It is not a de Polignac number, because 3212304221 - 230 = 2138562397 is a prime.

It is a super-3 number, since 3×32123042213 (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3212304193 and 3212304202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3212304211) 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, 1008251 + ... + 1011431.

It is an arithmetic number, because the mean of its divisors is an integer number (160243929).

Almost surely, 23212304221 is an apocalyptic number.

It is an amenable number.

3212304221 is a deficient number, since it is larger than the sum of its proper divisors (633550075).

3212304221 is a wasteful number, since it uses less digits than its factorization.

3212304221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3789 (or 3782 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 3212304221 is about 56677.1931291591. The cubic root of 3212304221 is about 1475.4988979408.

Adding to 3212304221 its reverse (1224032123), we get a palindrome (4436336344).

The spelling of 3212304221 in words is "three billion, two hundred twelve million, three hundred four thousand, two hundred twenty-one".

Divisors: 1 7 37 49 259 557 1813 3181 3899 20609 22267 27293 117697 144263 155869 823879 1009841 1771817 5767153 12402719 65557229 86819033 458900603 3212304221