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2289940 = 225611877
BaseRepresentation
bin1000101111000100010100
311022100012121
420233010110
51041234230
6121025324
725315132
oct10570424
94270177
102289940
111324514
12925244
136223c3
14438752
1530377a
hex22f114

2289940 has 24 divisors (see below), whose sum is σ = 4890312. Its totient is φ = 900480.

The previous prime is 2289929. The next prime is 2289943. The reversal of 2289940 is 499822.

2289940 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 4 ways, for example, as 15876 + 2274064 = 126^2 + 1508^2 .

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 2289896 and 2289905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2289943) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 282 + ... + 2158.

It is an arithmetic number, because the mean of its divisors is an integer number (203763).

22289940 is an apocalyptic number.

2289940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2289940 is an abundant number, since it is smaller than the sum of its proper divisors (2600372).

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

2289940 is a wasteful number, since it uses less digits than its factorization.

2289940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1947 (or 1945 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 2289940 is about 1513.2547703543. The cubic root of 2289940 is about 131.8078778383.

The spelling of 2289940 in words is "two million, two hundred eighty-nine thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 61 122 244 305 610 1220 1877 3754 7508 9385 18770 37540 114497 228994 457988 572485 1144970 2289940