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12214144 = 27372579
BaseRepresentation
bin101110100101…
…111110000000
3211222112122201
4232211332000
511111323034
61113442544
7205550515
oct56457600
924875581
1012214144
116992738
124110454
1326b8607
14189d30c
151114014
hexba5f80

12214144 has 32 divisors (see below), whose sum is σ = 25000200. Its totient is φ = 5939712.

The previous prime is 12214099. The next prime is 12214159. The reversal of 12214144 is 44141221.

12214144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

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, 3447 + ... + 6025.

Almost surely, 212214144 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 12214144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12500100).

12214144 is an abundant number, since it is smaller than the sum of its proper divisors (12786056).

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

12214144 is an equidigital number, since it uses as much as digits as its factorization.

12214144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2630 (or 2618 counting only the distinct ones).

The product of its digits is 256, while the sum is 19.

The square root of 12214144 is about 3494.8739605313. The cubic root of 12214144 is about 230.2966807841.

Adding to 12214144 its reverse (44141221), we get a palindrome (56355365).

The spelling of 12214144 in words is "twelve million, two hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 296 592 1184 2368 2579 4736 5158 10316 20632 41264 82528 95423 165056 190846 330112 381692 763384 1526768 3053536 6107072 12214144