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2200330000 = 24541183241
BaseRepresentation
bin1000001100100110…
…0101111100010000
312200100022100022201
42003021211330100
514001241030000
61002200412544
7105345332161
oct20311457420
95610270281
102200330000
11a2a035550
12514a77154
13290b1891b
1416c325768
15cd28496a
hex83265f10

2200330000 has 200 divisors, whose sum is σ = 5905934496. Its totient is φ = 787200000.

The previous prime is 2200329961. The next prime is 2200330003. The reversal of 2200330000 is 330022.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (2200330003) 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 39 ways as a sum of consecutive naturals, for example, 9129880 + ... + 9130120.

Almost surely, 22200330000 is an apocalyptic number.

2200330000 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 2200330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2952967248).

2200330000 is an abundant number, since it is smaller than the sum of its proper divisors (3705604496).

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

2200330000 is a wasteful number, since it uses less digits than its factorization.

2200330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 10.

The square root of 2200330000 is about 46907.6752781461. The cubic root of 2200330000 is about 1300.6564731725.

Adding to 2200330000 its reverse (330022), we get a palindrome (2200660022).

It can be divided in two parts, 22003 and 30000, that added together give a triangular number (52003 = T322).

The spelling of 2200330000 in words is "two billion, two hundred million, three hundred thirty thousand".