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11227400 = 235273769
BaseRepresentation
bin101010110101…
…000100001000
3210010102002122
4222311010020
510333234100
61040350412
7164300642
oct52650410
923112078
1011227400
116379348
123915408
132431442
1416c3892
15ebb985
hexab5108

11227400 has 48 divisors (see below), whose sum is σ = 26495700. Its totient is φ = 4423680.

The previous prime is 11227393. The next prime is 11227421. The reversal of 11227400 is 472211.

It can be written as a sum of positive squares in 6 ways, for example, as 3818116 + 7409284 = 1954^2 + 2722^2 .

It is a nialpdrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14216 + ... + 14984.

Almost surely, 211227400 is an apocalyptic number.

11227400 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 11227400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13247850).

11227400 is an abundant number, since it is smaller than the sum of its proper divisors (15268300).

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

11227400 is a wasteful number, since it uses less digits than its factorization.

11227400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 11227400 is about 3350.7312634707. The cubic root of 11227400 is about 223.9200926716.

Adding to 11227400 its reverse (472211), we get a palindrome (11699611).

The spelling of 11227400 in words is "eleven million, two hundred twenty-seven thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 146 200 292 365 584 730 769 1460 1538 1825 2920 3076 3650 3845 6152 7300 7690 14600 15380 19225 30760 38450 56137 76900 112274 153800 224548 280685 449096 561370 1122740 1403425 2245480 2806850 5613700 11227400