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11212200 = 2332526229
BaseRepresentation
bin101010110001…
…010110101000
3210002122020200
4222301112220
510332242300
61040152200
7164205426
oct52612650
923078220
1011212200
11636898a
123908660
13242754c
1416bc116
15eb7200
hexab15a8

11212200 has 72 divisors (see below), whose sum is σ = 37660350. Its totient is φ = 2989440.

The previous prime is 11212171. The next prime is 11212219. The reversal of 11212200 is 221211.

It can be written as a sum of positive squares in 3 ways, for example, as 8328996 + 2883204 = 2886^2 + 1698^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 15.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 1315 + ... + 4914.

Almost surely, 211212200 is an apocalyptic number.

11212200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11212200 is an abundant number, since it is smaller than the sum of its proper divisors (26448150).

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

11212200 is a wasteful number, since it uses less digits than its factorization.

11212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6251 (or 6239 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 11212200 is about 3348.4623336690. The cubic root of 11212200 is about 223.8189970625.

Adding to 11212200 its reverse (221211), we get a palindrome (11433411).

It can be divided in two parts, 1121 and 2200, that added together give a triangular number (3321 = T81).

The spelling of 11212200 in words is "eleven million, two hundred twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 6229 12458 18687 24916 31145 37374 49832 56061 62290 74748 93435 112122 124580 149496 155725 186870 224244 249160 280305 311450 373740 448488 467175 560610 622900 747480 934350 1121220 1245800 1401525 1868700 2242440 2803050 3737400 5606100 11212200