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2226640 = 245132141
BaseRepresentation
bin1000011111100111010000
311012010101011
420133213100
51032223030
6115420304
724632443
oct10374720
94163334
102226640
1112909a9
128b4694
135cc650
1441d65a
152deb2a
hex21f9d0

2226640 has 40 divisors (see below), whose sum is σ = 5577768. Its totient is φ = 821760.

The previous prime is 2226619. The next prime is 2226647. The reversal of 2226640 is 466222.

It is a happy number.

2226640 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 4 ways, for example, as 355216 + 1871424 = 596^2 + 1368^2 .

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 (2226647) 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, 31 + ... + 2110.

22226640 is an apocalyptic number.

2226640 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 2226640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2788884).

2226640 is an abundant number, since it is smaller than the sum of its proper divisors (3351128).

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

2226640 is a wasteful number, since it uses less digits than its factorization.

2226640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2167 (or 2161 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 2226640 is about 1492.1930170055. The cubic root of 2226640 is about 130.5820058744.

It can be divided in two parts, 22 and 26640, that added together give a palindrome (26662).

The spelling of 2226640 in words is "two million, two hundred twenty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 2141 4282 8564 10705 17128 21410 27833 34256 42820 55666 85640 111332 139165 171280 222664 278330 445328 556660 1113320 2226640