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11216220 = 22351311427
BaseRepresentation
bin101010110010…
…010101011100
3210002211202120
4222302111130
510332404340
61040222540
7164223231
oct52622534
923084676
1011216220
116370a04
12390aa50
132429322
1416bd788
15eb84d0
hexab255c

11216220 has 48 divisors (see below), whose sum is σ = 31667328. Its totient is φ = 2966080.

The previous prime is 11216201. The next prime is 11216239. The reversal of 11216220 is 2261211.

11216220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11216201) and next prime (11216239).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11216220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7147 + ... + 8573.

It is an arithmetic number, because the mean of its divisors is an integer number (659736).

Almost surely, 211216220 is an apocalyptic number.

11216220 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 11216220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15833664).

11216220 is an abundant number, since it is smaller than the sum of its proper divisors (20451108).

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

11216220 is a wasteful number, since it uses less digits than its factorization.

11216220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1570 (or 1568 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 11216220 is about 3349.0625554026. The cubic root of 11216220 is about 223.8457430730.

Adding to 11216220 its reverse (2261211), we get a palindrome (13477431).

The spelling of 11216220 in words is "eleven million, two hundred sixteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 131 262 393 524 655 786 1310 1427 1572 1965 2620 2854 3930 4281 5708 7135 7860 8562 14270 17124 21405 28540 42810 85620 186937 373874 560811 747748 934685 1121622 1869370 2243244 2804055 3738740 5608110 11216220