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11102220 = 22325371667
BaseRepresentation
bin101010010110…
…100000001100
3202220001101100
4222112200030
510320232340
61033543100
7163236663
oct52264014
922801340
1011102220
1162a3298
123874a90
1323b947c
14168ddda
15e94830
hexa9680c

11102220 has 72 divisors (see below), whose sum is σ = 34607664. Its totient is φ = 2878848.

The previous prime is 11102219. The next prime is 11102227. The reversal of 11102220 is 2220111.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (11102227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5827 + ... + 7493.

It is an arithmetic number, because the mean of its divisors is an integer number (480662).

Almost surely, 211102220 is an apocalyptic number.

11102220 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 11102220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17303832).

11102220 is an abundant number, since it is smaller than the sum of its proper divisors (23505444).

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

11102220 is a wasteful number, since it uses less digits than its factorization.

11102220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1719 (or 1714 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 11102220 is about 3331.9993997598. Note that the first 3 decimals coincide. The cubic root of 11102220 is about 223.0847807836.

Adding to 11102220 its reverse (2220111), we get a palindrome (13322331).

The spelling of 11102220 in words is "eleven million, one hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 1667 2220 3330 3334 5001 6660 6668 8335 10002 15003 16670 20004 25005 30006 33340 50010 60012 61679 75015 100020 123358 150030 185037 246716 300060 308395 370074 555111 616790 740148 925185 1110222 1233580 1850370 2220444 2775555 3700740 5551110 11102220