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2250640 = 24574019
BaseRepresentation
bin1000100101011110010000
311020100022001
420211132100
51034010030
6120123344
725062430
oct10453620
94210261
102250640
1112a7a37
12906554
1360a552
144282c0
152e6cca
hex225790

2250640 has 40 divisors (see below), whose sum is σ = 5981760. Its totient is φ = 771456.

The previous prime is 2250637. The next prime is 2250641. The reversal of 2250640 is 460522.

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

It is not an unprimeable number, because it can be changed into a prime (2250641) 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, 1450 + ... + 2569.

It is an arithmetic number, because the mean of its divisors is an integer number (149544).

22250640 is an apocalyptic number.

2250640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2250640 is an abundant number, since it is smaller than the sum of its proper divisors (3731120).

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

2250640 is a wasteful number, since it uses less digits than its factorization.

2250640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4039 (or 4033 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 2250640 is about 1500.2133181651. The cubic root of 2250640 is about 131.0494927881.

It can be divided in two parts, 2250 and 640, that multiplied together give a square (1440000 = 12002).

The spelling of 2250640 in words is "two million, two hundred fifty thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 4019 8038 16076 20095 28133 32152 40190 56266 64304 80380 112532 140665 160760 225064 281330 321520 450128 562660 1125320 2250640