Search a number
-
+
3333222000 = 243253281659
BaseRepresentation
bin1100011010101100…
…1110111001110000
322121022001012222200
43012223032321300
523311301101000
61310430303200
7145412630253
oct30653167160
98538035880
103333222000
111460576029
12790357b00
13411744a14
1423898709a
15147966500
hexc6acee70

3333222000 has 240 divisors, whose sum is σ = 11700992160. Its totient is φ = 884352000.

The previous prime is 3333221987. The next prime is 3333222017. The reversal of 3333222000 is 2223333.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×33332220002 = 22220737802568000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

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 47 ways as a sum of consecutive naturals, for example, 5057671 + ... + 5058329.

It is an arithmetic number, because the mean of its divisors is an integer number (48754134).

Almost surely, 23333222000 is an apocalyptic number.

3333222000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3333222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5850496080).

3333222000 is an abundant number, since it is smaller than the sum of its proper divisors (8367770160).

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

3333222000 is a wasteful number, since it uses less digits than its factorization.

3333222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969 (or 950 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

The square root of 3333222000 is about 57734.0627359620. The cubic root of 3333222000 is about 1493.7849510096.

Adding to 3333222000 its reverse (2223333), we get a palindrome (3335445333).

The spelling of 3333222000 in words is "three billion, three hundred thirty-three million, two hundred twenty-two thousand".