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2282620 = 225611871
BaseRepresentation
bin1000101101010001111100
311021222011111
420231101330
51041020440
6120531404
725254604
oct10552174
94258144
102282620
111319a6a
12920b64
1361bc82
14435c04
153014ea
hex22d47c

2282620 has 24 divisors (see below), whose sum is σ = 4874688. Its totient is φ = 897600.

The previous prime is 2282617. The next prime is 2282627. The reversal of 2282620 is 262822.

2282620 = T375 + T376 + ... + T404.

2282620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2282591 and 2282600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2282627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 285 + ... + 2155.

It is an arithmetic number, because the mean of its divisors is an integer number (203112).

22282620 is an apocalyptic number.

2282620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2282620 is an abundant number, since it is smaller than the sum of its proper divisors (2592068).

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

2282620 is a wasteful number, since it uses less digits than its factorization.

2282620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1941 (or 1939 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 2282620 is about 1510.8342066554. The cubic root of 2282620 is about 131.6672826619.

The spelling of 2282620 in words is "two million, two hundred eighty-two thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 61 122 244 305 610 1220 1871 3742 7484 9355 18710 37420 114131 228262 456524 570655 1141310 2282620