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11323224 = 23321117292
BaseRepresentation
bin101011001100…
…011101011000
3210022021112200
4223030131120
510344320344
61042410200
7165150213
oct53143530
923267480
1011323224
116434340
123960960
132465c43
14170a77a
15eda069
hexacc758

11323224 has 144 divisors (see below), whose sum is σ = 36686520. Its totient is φ = 3118080.

The previous prime is 11323223. The next prime is 11323231. The reversal of 11323224 is 42232311.

11323224 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 33652-1.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11323197 and 11323206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11323223) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 390442 + ... + 390470.

Almost surely, 211323224 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 11323224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18343260).

11323224 is an abundant number, since it is smaller than the sum of its proper divisors (25363296).

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

11323224 is a wasteful number, since it uses less digits than its factorization.

11323224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 62 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 11323224 is about 3364.9998514116. Note that the first 3 decimals coincide. The cubic root of 11323224 is about 224.5553291768. Note that the first 3 decimals are identical.

Adding to 11323224 its reverse (42232311), we get a palindrome (53555535).

It can be divided in two parts, 11323 and 224, that multiplied together give a palindrome (2536352).

The spelling of 11323224 in words is "eleven million, three hundred twenty-three thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 17 18 22 24 29 33 34 36 44 51 58 66 68 72 87 88 99 102 116 132 136 153 174 187 198 204 232 261 264 306 319 348 374 396 408 493 522 561 612 638 696 748 792 841 957 986 1044 1122 1224 1276 1479 1496 1682 1683 1914 1972 2088 2244 2523 2552 2871 2958 3364 3366 3828 3944 4437 4488 5046 5423 5742 5916 6728 6732 7569 7656 8874 9251 10092 10846 11484 11832 13464 14297 15138 16269 17748 18502 20184 21692 22968 27753 28594 30276 32538 35496 37004 42891 43384 48807 55506 57188 60552 65076 74008 83259 85782 97614 111012 114376 128673 130152 157267 166518 171564 195228 222024 257346 314534 333036 343128 390456 471801 514692 629068 666072 943602 1029384 1258136 1415403 1887204 2830806 3774408 5661612 11323224