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2242120 = 23556053
BaseRepresentation
bin1000100011011001001000
311012220121111
420203121020
51033221440
6120020104
725025536
oct10433110
94186544
102242120
1112a15a1
12901634
136066ca
14425156
152e44ea
hex223648

2242120 has 16 divisors (see below), whose sum is σ = 5044860. Its totient is φ = 896832.

The previous prime is 2242111. The next prime is 2242127. The reversal of 2242120 is 212422.

2242120 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2196324 + 45796 = 1482^2 + 214^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2242120.

It is not an unprimeable number, because it can be changed into a prime (2242127) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27987 + ... + 28066.

22242120 is an apocalyptic number.

2242120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2242120 is an abundant number, since it is smaller than the sum of its proper divisors (2802740).

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

2242120 is a wasteful number, since it uses less digits than its factorization.

2242120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56064 (or 56060 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 2242120 is about 1497.3710295047. The cubic root of 2242120 is about 130.8839171338.

Adding to 2242120 its reverse (212422), we get a palindrome (2454542).

The spelling of 2242120 in words is "two million, two hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 56053 112106 224212 280265 448424 560530 1121060 2242120