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11228772 = 22317192897
BaseRepresentation
bin101010110101…
…011001100100
3210010110222110
4222311121210
510333310042
61040401020
7164304642
oct52653144
923113873
1011228772
11637a385
123916170
132431c59
1416c4192
15ebc09c
hexab5664

11228772 has 48 divisors (see below), whose sum is σ = 29211840. Its totient is φ = 3336192.

The previous prime is 11228747. The next prime is 11228779. The reversal of 11228772 is 27782211.

It is a happy number.

11228772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11228779) 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, 2428 + ... + 5324.

It is an arithmetic number, because the mean of its divisors is an integer number (608580).

Almost surely, 211228772 is an apocalyptic number.

11228772 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 11228772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14605920).

11228772 is an abundant number, since it is smaller than the sum of its proper divisors (17983068).

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

11228772 is a wasteful number, since it uses less digits than its factorization.

11228772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2940 (or 2938 counting only the distinct ones).

The product of its digits is 3136, while the sum is 30.

The square root of 11228772 is about 3350.9359886456. The cubic root of 11228772 is about 223.9292133898.

The spelling of 11228772 in words is "eleven million, two hundred twenty-eight thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 12 17 19 34 38 51 57 68 76 102 114 204 228 323 646 969 1292 1938 2897 3876 5794 8691 11588 17382 34764 49249 55043 98498 110086 147747 165129 196996 220172 295494 330258 590988 660516 935731 1871462 2807193 3742924 5614386 11228772