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11223072 = 2532719293
BaseRepresentation
bin101010110100…
…000000100000
3210010012011100
4222310000200
510333114242
61040314400
7164252220
oct52640040
923105140
1011223072
116376073
123912a00
13242c493
1416c2080
15eba54c
hexab4020

11223072 has 144 divisors (see below), whose sum is σ = 38525760. Its totient is φ = 3027456.

The previous prime is 11223071. The next prime is 11223073. The reversal of 11223072 is 27032211.

It is an interprime number because it is at equal distance from previous prime (11223071) and next prime (11223073).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (11223071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38158 + ... + 38450.

It is an arithmetic number, because the mean of its divisors is an integer number (267540).

Almost surely, 211223072 is an apocalyptic number.

11223072 is a gapful number since it is divisible by the number (12) 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 11223072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19262880).

11223072 is an abundant number, since it is smaller than the sum of its proper divisors (27302688).

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

11223072 is a wasteful number, since it uses less digits than its factorization.

11223072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 11223072 is about 3350.0853720465. The cubic root of 11223072 is about 223.8913163234.

Adding to 11223072 its reverse (27032211), we get a palindrome (38255283).

The spelling of 11223072 in words is "eleven million, two hundred twenty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 32 36 38 42 48 56 57 63 72 76 84 96 112 114 126 133 144 152 168 171 224 228 252 266 288 293 304 336 342 399 456 504 532 586 608 672 684 798 879 912 1008 1064 1172 1197 1368 1596 1758 1824 2016 2051 2128 2344 2394 2637 2736 3192 3516 4102 4256 4688 4788 5274 5472 5567 6153 6384 7032 8204 9376 9576 10548 11134 12306 12768 14064 16408 16701 18459 19152 21096 22268 24612 28128 32816 33402 36918 38304 38969 42192 44536 49224 50103 65632 66804 73836 77938 84384 89072 98448 100206 116907 133608 147672 155876 178144 196896 200412 233814 267216 295344 311752 350721 400824 467628 534432 590688 623504 701442 801648 935256 1247008 1402884 1603296 1870512 2805768 3741024 5611536 11223072