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2209040 = 24553521
BaseRepresentation
bin1000011011010100010000
311011020020022
420123110100
51031142130
6115203012
724530231
oct10332420
94136208
102209040
111279759
128a6468
135c4632
14417088
152d97e5
hex21b510

2209040 has 40 divisors (see below), whose sum is σ = 5242968. Its totient is φ = 865280.

The previous prime is 2209027. The next prime is 2209043. The reversal of 2209040 is 409022.

It can be written as a sum of positive squares in 4 ways, for example, as 226576 + 1982464 = 476^2 + 1408^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2209043) 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, 3980 + ... + 4500.

22209040 is an apocalyptic number.

2209040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2209040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2621484).

2209040 is an abundant number, since it is smaller than the sum of its proper divisors (3033928).

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

2209040 is a wasteful number, since it uses less digits than its factorization.

2209040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 2209040 is about 1486.2839567189. The cubic root of 2209040 is about 130.2370428570.

It can be divided in two parts, 22090 and 40, that multiplied together give a square (883600 = 9402).

The spelling of 2209040 in words is "two million, two hundred nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 424 521 530 848 1042 1060 2084 2120 2605 4168 4240 5210 8336 10420 20840 27613 41680 55226 110452 138065 220904 276130 441808 552260 1104520 2209040