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11224900 = 2252112249
BaseRepresentation
bin101010110100…
…011101000100
3210010021200001
4222310131010
510333144100
61040331044
7164260441
oct52643504
923107601
1011224900
116377485
123913a84
13243026b
1416c29c8
15ebad6a
hexab4744

11224900 has 18 divisors (see below), whose sum is σ = 24358250. Its totient is φ = 4489920.

The previous prime is 11224891. The next prime is 11224901. The reversal of 11224900 is 942211.

It can be written as a sum of positive squares in 3 ways, for example, as 2663424 + 8561476 = 1632^2 + 2926^2 .

It is not an unprimeable number, because it can be changed into a prime (11224901) 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 5 ways as a sum of consecutive naturals, for example, 56025 + ... + 56224.

Almost surely, 211224900 is an apocalyptic number.

11224900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11224900 is an abundant number, since it is smaller than the sum of its proper divisors (13133350).

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

11224900 is a wasteful number, since it uses less digits than its factorization.

11224900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112263 (or 112256 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 11224900 is about 3350.3581898060. The cubic root of 11224900 is about 223.9034713765.

The spelling of 11224900 in words is "eleven million, two hundred twenty-four thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 112249 224498 448996 561245 1122490 2244980 2806225 5612450 11224900