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2200213120 = 275723131163
BaseRepresentation
bin1000001100100100…
…1001011010000000
312200100002101222211
42003021021122000
514001223304440
61002154111504
7105344334340
oct20311113200
95610071884
102200213120
11a29a65756
12514a1b594
13290aa7671
1416c2d4d20
15cd25eeea
hex83249680

2200213120 has 256 divisors, whose sum is σ = 6359316480. Its totient is φ = 711659520.

The previous prime is 2200213063. The next prime is 2200213123. The reversal of 2200213120 is 213120022.

It is a self number, because there is not a number n which added to its sum of digits gives 2200213120.

It is not an unprimeable number, because it can be changed into a prime (2200213123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13498159 + ... + 13498321.

It is an arithmetic number, because the mean of its divisors is an integer number (24841080).

Almost surely, 22200213120 is an apocalyptic number.

2200213120 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 2200213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3179658240).

2200213120 is an abundant number, since it is smaller than the sum of its proper divisors (4159103360).

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

2200213120 is a wasteful number, since it uses less digits than its factorization.

2200213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 2200213120 is about 46906.4294100500. The cubic root of 2200213120 is about 1300.6334427755.

Adding to 2200213120 its reverse (213120022), we get a palindrome (2413333142).

The spelling of 2200213120 in words is "two billion, two hundred million, two hundred thirteen thousand, one hundred twenty".