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11228804000 = 25539672903
BaseRepresentation
bin10100111010100100…
…11111001110100000
31001222112222100022122
422131102133032200
5140444033212000
65054120123412
7545155154621
oct123522371640
931875870278
1011228804000
114842404707
122214606568
13109c45842b
1478742da48
1545abd8085
hex29d49f3a0

11228804000 has 96 divisors (see below), whose sum is σ = 27627215616. Its totient is φ = 4485331200.

The previous prime is 11228803891. The next prime is 11228804017. The reversal of 11228804000 is 40882211.

11228804000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3866549 + ... + 3869451.

It is an arithmetic number, because the mean of its divisors is an integer number (287783496).

Almost surely, 211228804000 is an apocalyptic number.

11228804000 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 11228804000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13813607808).

11228804000 is an abundant number, since it is smaller than the sum of its proper divisors (16398411616).

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

11228804000 is an equidigital number, since it uses as much as digits as its factorization.

11228804000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3895 (or 3877 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

The spelling of 11228804000 in words is "eleven billion, two hundred twenty-eight million, eight hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 967 1000 1934 2000 2903 3868 4000 4835 5806 7736 9670 11612 14515 15472 19340 23224 24175 29030 30944 38680 46448 48350 58060 72575 77360 92896 96700 116120 120875 145150 154720 193400 232240 241750 290300 362875 386800 464480 483500 580600 725750 773600 967000 1161200 1451500 1934000 2322400 2807201 2903000 3868000 5614402 5806000 11228804 11612000 14036005 22457608 28072010 44915216 56144020 70180025 89830432 112288040 140360050 224576080 280720100 350900125 449152160 561440200 701800250 1122880400 1403600500 2245760800 2807201000 5614402000 11228804000