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11222256 = 2431132069
BaseRepresentation
bin101010110011…
…110011110000
3210010011001010
4222303303300
510333103011
61040310520
7164246643
oct52636360
923104033
1011222256
1163754a1
123912440
13242bcb6
1416c1a5a
15eba1a6
hexab3cf0

11222256 has 40 divisors (see below), whose sum is σ = 29261520. Its totient is φ = 3705856.

The previous prime is 11222251. The next prime is 11222257. The reversal of 11222256 is 65222211.

It is a happy number.

It is a plaindrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11222251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4390 + ... + 6458.

It is an arithmetic number, because the mean of its divisors is an integer number (731538).

Almost surely, 211222256 is an apocalyptic number.

11222256 is a gapful number since it is divisible by the number (16) 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 11222256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14630760).

11222256 is an abundant number, since it is smaller than the sum of its proper divisors (18039264).

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

11222256 is a wasteful number, since it uses less digits than its factorization.

11222256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2193 (or 2187 counting only the distinct ones).

The product of its digits is 480, while the sum is 21.

The square root of 11222256 is about 3349.9635818916. The cubic root of 11222256 is about 223.8858900093.

Adding to 11222256 its reverse (65222211), we get a palindrome (76444467).

The spelling of 11222256 in words is "eleven million, two hundred twenty-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 113 226 339 452 678 904 1356 1808 2069 2712 4138 5424 6207 8276 12414 16552 24828 33104 49656 99312 233797 467594 701391 935188 1402782 1870376 2805564 3740752 5611128 11222256