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2243968 = 2747373
BaseRepresentation
bin1000100011110110000000
311020000010221
420203312000
51033301333
6120032424
725034116
oct10436600
94200127
102243968
1112a2a21
12902714
136074bc
14425ab6
152e4d2d
hex223d80

2243968 has 32 divisors (see below), whose sum is σ = 4577760. Its totient is φ = 1095168.

The previous prime is 2243959. The next prime is 2243987. The reversal of 2243968 is 8693422.

2243968 is nontrivially palindromic in base 11.

It is a tau number, because it is divible by the number of its divisors (32).

It is a d-powerful number, because it can be written as 2 + 27 + 4 + 312 + 9 + 68 + 85 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5830 + ... + 6202.

It is an arithmetic number, because the mean of its divisors is an integer number (143055).

22243968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2243968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2288880).

2243968 is an abundant number, since it is smaller than the sum of its proper divisors (2333792).

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

2243968 is an equidigital number, since it uses as much as digits as its factorization.

2243968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 422 counting only the distinct ones).

The product of its digits is 20736, while the sum is 34.

The square root of 2243968 is about 1497.9879839304. The cubic root of 2243968 is about 130.9198663035.

The spelling of 2243968 in words is "two million, two hundred forty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 373 376 746 752 1492 1504 2984 3008 5968 6016 11936 17531 23872 35062 47744 70124 140248 280496 560992 1121984 2243968