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11221280 = 255743233
BaseRepresentation
bin101010110011…
…100100100000
3210010002200222
4222303210200
510333040110
61040302212
7164244050
oct52634440
923102628
1011221280
116374794
123911968
13242b715
1416c1560
15eb9c55
hexab3920

11221280 has 96 divisors (see below), whose sum is σ = 31135104. Its totient is φ = 3741696.

The previous prime is 11221253. The next prime is 11221283. The reversal of 11221280 is 8212211.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11221283) 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, 48044 + ... + 48276.

It is an arithmetic number, because the mean of its divisors is an integer number (324324).

Almost surely, 211221280 is an apocalyptic number.

11221280 is a gapful number since it is divisible by the number (10) 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 11221280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15567552).

11221280 is an abundant number, since it is smaller than the sum of its proper divisors (19913824).

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

11221280 is a wasteful number, since it uses less digits than its factorization.

11221280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

The square root of 11221280 is about 3349.8179054987. The cubic root of 11221280 is about 223.8793993665.

Adding to 11221280 its reverse (8212211), we get a palindrome (19433491).

The spelling of 11221280 in words is "eleven million, two hundred twenty-one thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 43 56 70 80 86 112 140 160 172 215 224 233 280 301 344 430 466 560 602 688 860 932 1120 1165 1204 1376 1505 1631 1720 1864 2330 2408 3010 3262 3440 3728 4660 4816 6020 6524 6880 7456 8155 9320 9632 10019 12040 13048 16310 18640 20038 24080 26096 32620 37280 40076 48160 50095 52192 65240 70133 80152 100190 130480 140266 160304 200380 260960 280532 320608 350665 400760 561064 701330 801520 1122128 1402660 1603040 2244256 2805320 5610640 11221280