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11822216 = 2371071973
BaseRepresentation
bin101101000110…
…010010001000
3211020122000212
4231012102020
511011302331
61101220252
7202326050
oct55062210
924218025
1011822216
11674522a
123b61688
1325ac0c3
1417da560
151087d2b
hexb46488

11822216 has 32 divisors (see below), whose sum is σ = 25583040. Its totient is φ = 5016768.

The previous prime is 11822201. The next prime is 11822221. The reversal of 11822216 is 61222811.

It is a junction number, because it is equal to n+sod(n) for n = 11822191 and 11822200.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5006 + ... + 6978.

It is an arithmetic number, because the mean of its divisors is an integer number (799470).

Almost surely, 211822216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11822216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12791520).

11822216 is an abundant number, since it is smaller than the sum of its proper divisors (13760824).

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

11822216 is a wasteful number, since it uses less digits than its factorization.

11822216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2093 (or 2089 counting only the distinct ones).

The product of its digits is 384, while the sum is 23.

The square root of 11822216 is about 3438.3449506994. The cubic root of 11822216 is about 227.8065970454.

It can be divided in two parts, 11822 and 216, that multiplied together give a palindrome (2553552).

The spelling of 11822216 in words is "eleven million, eight hundred twenty-two thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 28 56 107 214 428 749 856 1498 1973 2996 3946 5992 7892 13811 15784 27622 55244 110488 211111 422222 844444 1477777 1688888 2955554 5911108 11822216