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11146224 = 243733181
BaseRepresentation
bin101010100001…
…001111110000
3202222021202010
4222201033300
510323134344
61034522520
7163512165
oct52411760
922867663
1011146224
116323361
123896440
1324034cb
1416a206c
15ea28b9
hexaa13f0

11146224 has 40 divisors (see below), whose sum is σ = 29198032. Its totient is φ = 3663360.

The previous prime is 11146211. The next prime is 11146229. The reversal of 11146224 is 42264111.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11146224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11146229) 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, 1914 + ... + 5094.

Almost surely, 211146224 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 11146224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14599016).

11146224 is an abundant number, since it is smaller than the sum of its proper divisors (18051808).

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

11146224 is a wasteful number, since it uses less digits than its factorization.

11146224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3265 (or 3259 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 11146224 is about 3338.5961121406. The cubic root of 11146224 is about 223.3791267696.

The spelling of 11146224 in words is "eleven million, one hundred forty-six thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 73 146 219 292 438 584 876 1168 1752 3181 3504 6362 9543 12724 19086 25448 38172 50896 76344 152688 232213 464426 696639 928852 1393278 1857704 2786556 3715408 5573112 11146224