[go: up one dir, main page]

Search a number
-
+
3221323220 = 225161066161
BaseRepresentation
bin1100000000000001…
…0111110111010100
322022111111011201102
43000000113313110
523044124320340
61251352045232
7142553536613
oct30000276724
98274434642
103221323220
1114033978a5
1275a993818
133c44c631b
14227b7987a
1513cc11215
hexc0017dd4

3221323220 has 12 divisors (see below), whose sum is σ = 6764778804. Its totient is φ = 1288529280.

The previous prime is 3221323211. The next prime is 3221323223. The reversal of 3221323220 is 223231223.

It can be written as a sum of positive squares in 2 ways, for example, as 1891554064 + 1329769156 = 43492^2 + 36466^2 .

It is a super-2 number, since 2×32213232202 = 20753846575422336800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 161066161 = 3221323220 / (3 + 2 + 2 + 1 + 3 + 2 + 3 + 2 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 3221323192 and 3221323201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3221323223) 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 3 ways as a sum of consecutive naturals, for example, 80533061 + ... + 80533100.

It is an arithmetic number, because the mean of its divisors is an integer number (563731567).

Almost surely, 23221323220 is an apocalyptic number.

It is an amenable number.

3221323220 is an abundant number, since it is smaller than the sum of its proper divisors (3543455584).

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

3221323220 is a wasteful number, since it uses less digits than its factorization.

3221323220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161066170 (or 161066168 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 3221323220 is about 56756.7019831139. The cubic root of 3221323220 is about 1476.8784983053.

Adding to 3221323220 its reverse (223231223), we get a palindrome (3444554443).

The spelling of 3221323220 in words is "three billion, two hundred twenty-one million, three hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 161066161 322132322 644264644 805330805 1610661610 3221323220