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2220330000 = 24354797109
BaseRepresentation
bin1000010001010111…
…1000110000010000
312201201221110011110
42010111320300100
514021401030000
61004153213320
7106010331210
oct20425706020
95651843143
102220330000
11a3a355879
1251b701240
13294ccc045
14170c50240
15cedd5850
hex84578c10

2220330000 has 400 divisors, whose sum is σ = 8351826560. Its totient is φ = 497664000.

The previous prime is 2220329989. The next prime is 2220330011. The reversal of 2220330000 is 330222.

It is an interprime number because it is at equal distance from previous prime (2220329989) and next prime (2220330011).

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20369946 + ... + 20370054.

Almost surely, 22220330000 is an apocalyptic number.

2220330000 is a gapful number since it is divisible by the number (20) 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 2220330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4175913280).

2220330000 is an abundant number, since it is smaller than the sum of its proper divisors (6131496560).

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

2220330000 is a wasteful number, since it uses less digits than its factorization.

2220330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 2220330000 is about 47120.3777573992. The cubic root of 2220330000 is about 1304.5853852335.

Adding to 2220330000 its reverse (330222), we get a palindrome (2220660222).

The spelling of 2220330000 in words is "two billion, two hundred twenty million, three hundred thirty thousand".