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2012200 = 235210061
BaseRepresentation
bin111101011010000101000
310210020012221
413223100220
51003342300
6111043424
723050321
oct7532050
93706187
102012200
111154883
12810574
13555b68
143a5448
1529b31a
hex1eb428

2012200 has 24 divisors (see below), whose sum is σ = 4678830. Its totient is φ = 804800.

The previous prime is 2012189. The next prime is 2012203. The reversal of 2012200 is 22102.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1552516 + 459684 = 1246^2 + 678^2 .

It is not an unprimeable number, because it can be changed into a prime (2012203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4831 + ... + 5230.

22012200 is an apocalyptic number.

2012200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2012200 is an abundant number, since it is smaller than the sum of its proper divisors (2666630).

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

2012200 is a wasteful number, since it uses less digits than its factorization.

2012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10077 (or 10068 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 2012200 is about 1418.5203558638. The cubic root of 2012200 is about 126.2477697871.

Adding to 2012200 its reverse (22102), we get a palindrome (2034302).

It can be divided in two parts, 201 and 2200, that added together give a 4-th power (2401 = 74).

The spelling of 2012200 in words is "two million, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 10061 20122 40244 50305 80488 100610 201220 251525 402440 503050 1006100 2012200