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2200420320 = 253571514337
BaseRepresentation
bin1000001100100111…
…1011111111100000
312200100110221012220
42003021323333200
514001301422240
61002202351040
7105346156410
oct20311737740
95610427186
102200420320
11a2a09739a
12514abb480
13290b4aa77
1416c34a640
15cd2a15d0
hex8327bfe0

2200420320 has 192 divisors, whose sum is σ = 7975812096. Its totient is φ = 499507200.

The previous prime is 2200420319. The next prime is 2200420363. The reversal of 2200420320 is 230240022.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2200420320.

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 31 ways as a sum of consecutive naturals, for example, 505192 + ... + 509528.

It is an arithmetic number, because the mean of its divisors is an integer number (41540688).

Almost surely, 22200420320 is an apocalyptic number.

2200420320 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 2200420320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3987906048).

2200420320 is an abundant number, since it is smaller than the sum of its proper divisors (5775391776).

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

2200420320 is a wasteful number, since it uses less digits than its factorization.

2200420320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4513 (or 4505 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 2200420320 is about 46908.6380104987. The cubic root of 2200420320 is about 1300.6742695463.

Adding to 2200420320 its reverse (230240022), we get a palindrome (2430660342).

It can be divided in two parts, 22004 and 20320, that added together give a palindrome (42324).

The spelling of 2200420320 in words is "two billion, two hundred million, four hundred twenty thousand, three hundred twenty".