Search a number
-
+
330550220 = 2257112131979
BaseRepresentation
bin10011101100111…
…100101111001100
3212000222200122202
4103230330233030
51134110101340
652444501032
711122426160
oct2354745714
9760880582
10330550220
1115a650300
129284a778
1353636360
1431c86ca0
151e045c15
hex13b3cbcc

330550220 has 288 divisors, whose sum is σ = 1001011200. Its totient is φ = 88957440.

The previous prime is 330550219. The next prime is 330550237. The reversal of 330550220 is 22055033.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 330550192 and 330550201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4184141 + ... + 4184219.

Almost surely, 2330550220 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 330550220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500505600).

330550220 is an abundant number, since it is smaller than the sum of its proper divisors (670460980).

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

330550220 is a wasteful number, since it uses less digits than its factorization.

330550220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 20.

The square root of 330550220 is about 18181.0401242613. The cubic root of 330550220 is about 691.4261757099.

The spelling of 330550220 in words is "three hundred thirty million, five hundred fifty thousand, two hundred twenty".