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2213011200 = 28352791459
BaseRepresentation
bin1000001111100111…
…1101111100000000
312201020011121122210
42003321331330000
514013012324300
61003332302120
7105561166461
oct20371757400
95636147583
102213011200
11a36207084
12519171940
132936389aa
1416dca6d68
15ce43c050
hex83e7df00

2213011200 has 216 divisors, whose sum is σ = 7400915200. Its totient is φ = 582266880.

The previous prime is 2213011169. The next prime is 2213011201. The reversal of 2213011200 is 21103122.

2213011200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2213011201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1516071 + ... + 1517529.

Almost surely, 22213011200 is an apocalyptic number.

2213011200 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 2213011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3700457600).

2213011200 is an abundant number, since it is smaller than the sum of its proper divisors (5187904000).

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

2213011200 is a wasteful number, since it uses less digits than its factorization.

2213011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1567 (or 1548 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2213011200 is about 47042.6529864122. The cubic root of 2213011200 is about 1303.1503868790.

Adding to 2213011200 its reverse (21103122), we get a palindrome (2234114322).

The spelling of 2213011200 in words is "two billion, two hundred thirteen million, eleven thousand, two hundred".