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11225872 = 247113887
BaseRepresentation
bin101010110100…
…101100010000
3210010100000001
4222310230100
510333211442
61040335344
7164263330
oct52645420
923110001
1011225872
116378189
123914554
132430838
1416c30c0
15ebb2b7
hexab4b10

11225872 has 40 divisors (see below), whose sum is σ = 25105536. Its totient is φ = 4763136.

The previous prime is 11225857. The next prime is 11225873. The reversal of 11225872 is 27852211.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 11225872.

It is not an unprimeable number, because it can be changed into a prime (11225873) 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, 12213 + ... + 13099.

Almost surely, 211225872 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 11225872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12552768).

11225872 is an abundant number, since it is smaller than the sum of its proper divisors (13879664).

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

11225872 is a wasteful number, since it uses less digits than its factorization.

11225872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015 (or 1009 counting only the distinct ones).

The product of its digits is 2240, while the sum is 28.

The square root of 11225872 is about 3350.5032457826. The cubic root of 11225872 is about 223.9099340292.

The spelling of 11225872 in words is "eleven million, two hundred twenty-five thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 113 226 452 791 887 904 1582 1774 1808 3164 3548 6209 6328 7096 12418 12656 14192 24836 49672 99344 100231 200462 400924 701617 801848 1403234 1603696 2806468 5612936 11225872