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11000220 = 22357112381
BaseRepresentation
bin101001111101…
…100110011100
3202200212110120
4221331212130
510304001340
61031434540
7162333420
oct51754634
922625416
1011000220
1162336a0
123825a50
132381c0a
141664b80
15e744d0
hexa7d99c

11000220 has 96 divisors (see below), whose sum is σ = 38416896. Its totient is φ = 2284800.

The previous prime is 11000189. The next prime is 11000273. The reversal of 11000220 is 2200011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 11000199 and 11000208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3430 + ... + 5810.

It is an arithmetic number, because the mean of its divisors is an integer number (400176).

Almost surely, 211000220 is an apocalyptic number.

11000220 is a gapful number since it is divisible by the number (10) 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 11000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19208448).

11000220 is an abundant number, since it is smaller than the sum of its proper divisors (27416676).

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

11000220 is a wasteful number, since it uses less digits than its factorization.

11000220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2411 (or 2409 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 11000220 is about 3316.6579564375. The cubic root of 11000220 is about 222.3994917004.

Adding to 11000220 its reverse (2200011), we get a palindrome (13200231).

The spelling of 11000220 in words is "eleven million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 55 60 66 70 77 84 105 110 132 140 154 165 210 220 231 308 330 385 420 462 660 770 924 1155 1540 2310 2381 4620 4762 7143 9524 11905 14286 16667 23810 26191 28572 33334 35715 47620 50001 52382 66668 71430 78573 83335 100002 104764 130955 142860 157146 166670 183337 200004 250005 261910 314292 333340 366674 392865 500010 523820 550011 733348 785730 916685 1000020 1100022 1571460 1833370 2200044 2750055 3666740 5500110 11000220