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2205620 = 225110281
BaseRepresentation
bin1000011010011110110100
311011001112122
420122132310
51031034440
6115135112
724514244
oct10323664
94131478
102205620
11127712a
128a4498
135c2c01
14415b24
152d87b5
hex21a7b4

2205620 has 12 divisors (see below), whose sum is σ = 4631844. Its totient is φ = 882240.

The previous prime is 2205617. The next prime is 2205629. The reversal of 2205620 is 265022.

2205620 is digitally balanced in base 2, 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 712336 + 1493284 = 844^2 + 1222^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2205629) 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 3 ways as a sum of consecutive naturals, for example, 55121 + ... + 55160.

It is an arithmetic number, because the mean of its divisors is an integer number (385987).

22205620 is an apocalyptic number.

2205620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2205620 is an abundant number, since it is smaller than the sum of its proper divisors (2426224).

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

2205620 is a wasteful number, since it uses less digits than its factorization.

2205620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110290 (or 110288 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 2205620 is about 1485.1329906779. The cubic root of 2205620 is about 130.1697978480.

The spelling of 2205620 in words is "two million, two hundred five thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 110281 220562 441124 551405 1102810 2205620