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11125224 = 23321121277
BaseRepresentation
bin101010011100…
…000111101000
3202221012221100
4222130013220
510322001344
61034241400
7163364025
oct52340750
922835840
1011125224
116309600
123886260
1323c6a96
14169854c
15e9b569
hexa9c1e8

11125224 has 72 divisors (see below), whose sum is σ = 33144930. Its totient is φ = 3368640.

The previous prime is 11125223. The next prime is 11125243. The reversal of 11125224 is 42252111.

It can be written as a sum of positive squares in only one way, i.e., 8820900 + 2304324 = 2970^2 + 1518^2 .

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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 11125197 and 11125206.

It is not an unprimeable number, because it can be changed into a prime (11125223) 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 17 ways as a sum of consecutive naturals, for example, 8074 + ... + 9350.

Almost surely, 211125224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11125224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16572465).

11125224 is an abundant number, since it is smaller than the sum of its proper divisors (22019706).

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

11125224 is a wasteful number, since it uses less digits than its factorization.

11125224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1311 (or 1293 counting only the distinct ones).

The product of its digits is 160, while the sum is 18.

The square root of 11125224 is about 3335.4495948822. The cubic root of 11125224 is about 223.2387530507.

Adding to 11125224 its reverse (42252111), we get a palindrome (53377335).

It can be divided in two parts, 1112 and 5224, that added together give a palindrome (6336).

The spelling of 11125224 in words is "eleven million, one hundred twenty-five thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 484 726 792 968 1089 1277 1452 2178 2554 2904 3831 4356 5108 7662 8712 10216 11493 14047 15324 22986 28094 30648 42141 45972 56188 84282 91944 112376 126423 154517 168564 252846 309034 337128 463551 505692 618068 927102 1011384 1236136 1390653 1854204 2781306 3708408 5562612 11125224