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11233104 = 24319109113
BaseRepresentation
bin101010110110…
…011101010000
3210010200220220
4222312131100
510333424404
61040433040
7164323401
oct52663520
923120826
1011233104
116382663
123918780
132433c0c
1416c59a8
15ebd4d9
hexab6750

11233104 has 80 divisors (see below), whose sum is σ = 31099200. Its totient is φ = 3483648.

The previous prime is 11233099. The next prime is 11233109. The reversal of 11233104 is 40133211.

11233104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11233099) and next prime (11233109).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11233109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99352 + ... + 99464.

It is an arithmetic number, because the mean of its divisors is an integer number (388740).

Almost surely, 211233104 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 11233104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15549600).

11233104 is an abundant number, since it is smaller than the sum of its proper divisors (19866096).

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

11233104 is a wasteful number, since it uses less digits than its factorization.

11233104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 11233104 is about 3351.5823128785. The cubic root of 11233104 is about 223.9580065837.

Adding to 11233104 its reverse (40133211), we get a palindrome (51366315).

The spelling of 11233104 in words is "eleven million, two hundred thirty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 109 113 114 152 218 226 228 304 327 339 436 452 456 654 678 872 904 912 1308 1356 1744 1808 2071 2147 2616 2712 4142 4294 5232 5424 6213 6441 8284 8588 12317 12426 12882 16568 17176 24634 24852 25764 33136 34352 36951 49268 49704 51528 73902 98536 99408 103056 147804 197072 234023 295608 468046 591216 702069 936092 1404138 1872184 2808276 3744368 5616552 11233104