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11220552 = 2333741181
BaseRepresentation
bin101010110011…
…011001001000
3210010001201000
4222303121020
510333024202
61040255000
7164241660
oct52633110
923101630
1011220552
116374192
123911460
13242b2a5
1416c11a0
15eb991c
hexab3648

11220552 has 128 divisors (see below), whose sum is σ = 36691200. Its totient is φ = 3110400.

The previous prime is 11220551. The next prime is 11220553. The reversal of 11220552 is 25502211.

11220552 is a `hidden beast` number, since 112 + 2 + 0 + 552 = 666.

It is an interprime number because it is at equal distance from previous prime (11220551) and next prime (11220553).

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 (11220551) 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 31 ways as a sum of consecutive naturals, for example, 61902 + ... + 62082.

It is an arithmetic number, because the mean of its divisors is an integer number (286650).

Almost surely, 211220552 is an apocalyptic number.

11220552 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 11220552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18345600).

11220552 is an abundant number, since it is smaller than the sum of its proper divisors (25470648).

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

11220552 is a wasteful number, since it uses less digits than its factorization.

11220552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 11220552 is about 3349.7092411133. The cubic root of 11220552 is about 223.8745577404.

Adding to 11220552 its reverse (25502211), we get a palindrome (36722763).

It can be divided in two parts, 11220 and 552, that multiplied together give a triangular number (6193440 = T3519).

The spelling of 11220552 in words is "eleven million, two hundred twenty thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 41 42 54 56 63 72 82 84 108 123 126 164 168 181 189 216 246 252 287 328 362 369 378 492 504 543 574 724 738 756 861 984 1086 1107 1148 1267 1448 1476 1512 1629 1722 2172 2214 2296 2534 2583 2952 3258 3444 3801 4344 4428 4887 5068 5166 6516 6888 7421 7602 7749 8856 9774 10136 10332 11403 13032 14842 15204 15498 19548 20664 22263 22806 29684 30408 30996 34209 39096 44526 45612 51947 59368 61992 66789 68418 89052 91224 103894 133578 136836 155841 178104 200367 207788 267156 273672 311682 400734 415576 467523 534312 623364 801468 935046 1246728 1402569 1602936 1870092 2805138 3740184 5610276 11220552