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2200504320 = 2113457379
BaseRepresentation
bin1000001100101001…
…0000100000000000
312200100122012110000
42003022100200000
514001312114240
61002204240000
7105346656330
oct20312204000
95610565400
102200504320
11a2a144513
12514b40000
13290b7a081
1416c36d0c0
15cd2bb430
hex83290800

2200504320 has 480 divisors, whose sum is σ = 9037828800. Its totient is φ = 501645312.

The previous prime is 2200504303. The next prime is 2200504337. The reversal of 2200504320 is 234050022.

It is an interprime number because it is at equal distance from previous prime (2200504303) and next prime (2200504337).

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a junction number, because it is equal to n+sod(n) for n = 2200504293 and 2200504302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5805891 + ... + 5806269.

It is an arithmetic number, because the mean of its divisors is an integer number (18828810).

Almost surely, 22200504320 is an apocalyptic number.

2200504320 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 2200504320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4518914400).

2200504320 is an abundant number, since it is smaller than the sum of its proper divisors (6837324480).

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

2200504320 is an equidigital number, since it uses as much as digits as its factorization.

2200504320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 2200504320 is about 46909.5333594356. The cubic root of 2200504320 is about 1300.6908202097.

Adding to 2200504320 its reverse (234050022), we get a palindrome (2434554342).

The spelling of 2200504320 in words is "two billion, two hundred million, five hundred four thousand, three hundred twenty".