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2202580 = 225110129
BaseRepresentation
bin1000011001101111010100
311010220101001
420121233110
51030440310
6115113044
724502342
oct10315724
94126331
102202580
111274916
128a2784
135c1703
14414992
152d793a
hex219bd4

2202580 has 12 divisors (see below), whose sum is σ = 4625460. Its totient is φ = 881024.

The previous prime is 2202559. The next prime is 2202583. The reversal of 2202580 is 852022.

2202580 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 767376 + 1435204 = 876^2 + 1198^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2202583) 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, 55045 + ... + 55084.

It is an arithmetic number, because the mean of its divisors is an integer number (385455).

22202580 is an apocalyptic number.

2202580 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2202580 is an abundant number, since it is smaller than the sum of its proper divisors (2422880).

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

2202580 is a wasteful number, since it uses less digits than its factorization.

2202580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110138 (or 110136 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 2202580 is about 1484.1091604057. The cubic root of 2202580 is about 130.1099661258.

The spelling of 2202580 in words is "two million, two hundred two thousand, five hundred eighty".

Divisors: 1 2 4 5 10 20 110129 220258 440516 550645 1101290 2202580