Search a number
-
+
1223232 = 26323277
BaseRepresentation
bin100101010101001000000
32022010221220
410222221000
5303120412
642115040
713253163
oct4525100
92263856
101223232
1176603a
124aba80
1333aa0a
1423bada
1519268c
hex12aa40

1223232 has 56 divisors (see below), whose sum is σ = 3389376. Its totient is φ = 388608.

The previous prime is 1223231. The next prime is 1223237. The reversal of 1223232 is 2323221.

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

It is not an unprimeable number, because it can be changed into a prime (1223231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4278 + ... + 4554.

21223232 is an apocalyptic number.

1223232 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 1223232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1694688).

1223232 is an abundant number, since it is smaller than the sum of its proper divisors (2166144).

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

1223232 is a wasteful number, since it uses less digits than its factorization.

1223232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 305 counting only the distinct ones).

The product of its digits is 144, while the sum is 15.

The square root of 1223232 is about 1105.9981916803. The cubic root of 1223232 is about 106.9472474119.

Adding to 1223232 its reverse (2323221), we get a palindrome (3546453).

It can be divided in two parts, 12 and 23232, that multiplied together give a square (278784 = 5282).

The spelling of 1223232 in words is "one million, two hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 138 184 192 276 277 368 552 554 736 831 1104 1108 1472 1662 2208 2216 3324 4416 4432 6371 6648 8864 12742 13296 17728 19113 25484 26592 38226 50968 53184 76452 101936 152904 203872 305808 407744 611616 1223232