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11216172 = 22311312741
BaseRepresentation
bin101010110010…
…010100101100
3210002211200210
4222302110230
510332404142
61040222420
7164223132
oct52622454
923084623
1011216172
116370970
12390aa10
1324292b6
1416bd752
15eb849c
hexab252c

11216172 has 48 divisors (see below), whose sum is σ = 29481984. Its totient is φ = 3288000.

The previous prime is 11216171. The next prime is 11216173. The reversal of 11216172 is 27161211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11216171) and next prime (11216173).

It is not an unprimeable number, because it can be changed into a prime (11216171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2722 + ... + 5462.

It is an arithmetic number, because the mean of its divisors is an integer number (614208).

Almost surely, 211216172 is an apocalyptic number.

11216172 is a gapful number since it is divisible by the number (12) 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 11216172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14740992).

11216172 is an abundant number, since it is smaller than the sum of its proper divisors (18265812).

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

11216172 is a wasteful number, since it uses less digits than its factorization.

11216172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2790 (or 2788 counting only the distinct ones).

The product of its digits is 168, while the sum is 21.

The square root of 11216172 is about 3349.0553892105. The cubic root of 11216172 is about 223.8454237554.

Adding to 11216172 its reverse (27161211), we get a palindrome (38377383).

The spelling of 11216172 in words is "eleven million, two hundred sixteen thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 124 132 186 341 372 682 1023 1364 2046 2741 4092 5482 8223 10964 16446 30151 32892 60302 84971 90453 120604 169942 180906 254913 339884 361812 509826 934681 1019652 1869362 2804043 3738724 5608086 11216172