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1122288 = 243103227
BaseRepresentation
bin100010001111111110000
32010000111020
410101333300
5241403123
640015440
712352656
oct4217760
92100436
101122288
116a7212
12461580
13303a9b
14212dd6
151727e3
hex111ff0

1122288 has 40 divisors (see below), whose sum is σ = 2940288. Its totient is φ = 368832.

The previous prime is 1122287. The next prime is 1122367. The reversal of 1122288 is 8822211.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 10.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122281) 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 7 ways as a sum of consecutive naturals, for example, 4831 + ... + 5057.

21122288 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 1122288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1470144).

1122288 is an abundant number, since it is smaller than the sum of its proper divisors (1818000).

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

1122288 is a wasteful number, since it uses less digits than its factorization.

1122288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 335 counting only the distinct ones).

The product of its digits is 512, while the sum is 24.

The square root of 1122288 is about 1059.3809513107. The cubic root of 1122288 is about 103.9205507612.

Adding to 1122288 its reverse (8822211), we get a palindrome (9944499).

The spelling of 1122288 in words is "one million, one hundred twenty-two thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 103 206 227 309 412 454 618 681 824 908 1236 1362 1648 1816 2472 2724 3632 4944 5448 10896 23381 46762 70143 93524 140286 187048 280572 374096 561144 1122288