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11233000 = 235347239
BaseRepresentation
bin101010110110…
…011011101000
3210010200210001
4222312123220
510333424000
61040432344
7164323162
oct52663350
923120701
1011233000
116382579
1239186b4
132433b5c
1416c5932
15ebd46a
hexab66e8

11233000 has 64 divisors (see below), whose sum is σ = 26956800. Its totient is φ = 4379200.

The previous prime is 11232997. The next prime is 11233031. The reversal of 11233000 is 33211.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46881 + ... + 47119.

It is an arithmetic number, because the mean of its divisors is an integer number (421200).

Almost surely, 211233000 is an apocalyptic number.

11233000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13478400).

11233000 is an abundant number, since it is smaller than the sum of its proper divisors (15723800).

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

11233000 is a wasteful number, since it uses less digits than its factorization.

11233000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 11233000 is about 3351.5667977828. The cubic root of 11233000 is about 223.9573154211.

Adding to 11233000 its reverse (33211), we get a palindrome (11266211).

The spelling of 11233000 in words is "eleven million, two hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 94 100 125 188 200 235 239 250 376 470 478 500 940 956 1000 1175 1195 1880 1912 2350 2390 4700 4780 5875 5975 9400 9560 11233 11750 11950 22466 23500 23900 29875 44932 47000 47800 56165 59750 89864 112330 119500 224660 239000 280825 449320 561650 1123300 1404125 2246600 2808250 5616500 11233000