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2259640 = 235173323
BaseRepresentation
bin1000100111101010111000
311020210122101
420213222320
51034302030
6120233144
725130605
oct10475270
94223571
102259640
111303779
1290b7b4
13611686
1442b6ac
152e97ca
hex227ab8

2259640 has 32 divisors (see below), whose sum is σ = 5384880. Its totient is φ = 850432.

The previous prime is 2259629. The next prime is 2259643. The reversal of 2259640 is 469522.

2259640 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 = 2259599 and 2259608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2259643) 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, 982 + ... + 2341.

22259640 is an apocalyptic number.

2259640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2259640 is an abundant number, since it is smaller than the sum of its proper divisors (3125240).

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

2259640 is a wasteful number, since it uses less digits than its factorization.

2259640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3351 (or 3347 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 2259640 is about 1503.2098988498. The cubic root of 2259640 is about 131.2239434291.

It can be divided in two parts, 22596 and 40, that multiplied together give a triangular number (903840 = T1344).

The spelling of 2259640 in words is "two million, two hundred fifty-nine thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 3323 6646 13292 16615 26584 33230 56491 66460 112982 132920 225964 282455 451928 564910 1129820 2259640