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11032216 = 2313374761
BaseRepresentation
bin101010000101…
…011010011000
3202202111100121
4222011122120
510311012331
61032243024
7162525616
oct52053230
922674317
1011032216
116255738
123840474
132393650
1416726b6
15e7dc11
hexa85698

11032216 has 64 divisors (see below), whose sum is σ = 23748480. Its totient is φ = 4769280.

The previous prime is 11032213. The next prime is 11032223. The reversal of 11032216 is 61223011.

It is a self number, because there is not a number n which added to its sum of digits gives 11032216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11032213) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180826 + ... + 180886.

It is an arithmetic number, because the mean of its divisors is an integer number (371070).

Almost surely, 211032216 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 11032216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11874240).

11032216 is an abundant number, since it is smaller than the sum of its proper divisors (12716264).

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

11032216 is a wasteful number, since it uses less digits than its factorization.

11032216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 11032216 is about 3321.4779842715. The cubic root of 11032216 is about 222.6149118164.

Adding to 11032216 its reverse (61223011), we get a palindrome (72255227).

The spelling of 11032216 in words is "eleven million, thirty-two thousand, two hundred sixteen".

Divisors: 1 2 4 8 13 26 37 47 52 61 74 94 104 122 148 188 244 296 376 481 488 611 793 962 1222 1586 1739 1924 2257 2444 2867 3172 3478 3848 4514 4888 5734 6344 6956 9028 11468 13912 18056 22607 22936 29341 37271 45214 58682 74542 90428 106079 117364 149084 180856 212158 234728 298168 424316 848632 1379027 2758054 5516108 11032216