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2278420 = 225113921
BaseRepresentation
bin1000101100010000010100
311021202101221
420230100110
51040402140
6120500124
725236424
oct10542024
94252357
102278420
1113168a1
1291a644
1361a0a1
14434484
1530014a
hex22c414

2278420 has 12 divisors (see below), whose sum is σ = 4784724. Its totient is φ = 911360.

The previous prime is 2278379. The next prime is 2278421. The reversal of 2278420 is 248722.

It can be written as a sum of positive squares in 2 ways, for example, as 725904 + 1552516 = 852^2 + 1246^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2278421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 56941 + ... + 56980.

It is an arithmetic number, because the mean of its divisors is an integer number (398727).

22278420 is an apocalyptic number.

2278420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2278420 is an abundant number, since it is smaller than the sum of its proper divisors (2506304).

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

2278420 is a wasteful number, since it uses less digits than its factorization.

2278420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113930 (or 113928 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 2278420 is about 1509.4436061013. The cubic root of 2278420 is about 131.5864775480.

The spelling of 2278420 in words is "two million, two hundred seventy-eight thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 113921 227842 455684 569605 1139210 2278420