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1223296 = 2719503
BaseRepresentation
bin100101010101010000000
32022011001021
410222222000
5303121141
642115224
713253314
oct4525200
92264037
101223296
11766098
124abb14
1333aa59
1423bb44
151926d1
hex12aa80

1223296 has 32 divisors (see below), whose sum is σ = 2570400. Its totient is φ = 578304.

The previous prime is 1223281. The next prime is 1223309. The reversal of 1223296 is 6923221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 1223296.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 2181 + ... + 2683.

It is an arithmetic number, because the mean of its divisors is an integer number (80325).

21223296 is an apocalyptic number.

1223296 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 1223296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1285200).

1223296 is an abundant number, since it is smaller than the sum of its proper divisors (1347104).

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

1223296 is an equidigital number, since it uses as much as digits as its factorization.

1223296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 524 counting only the distinct ones).

The product of its digits is 1296, while the sum is 25.

The square root of 1223296 is about 1106.0271244413. The cubic root of 1223296 is about 106.9491125540.

The spelling of 1223296 in words is "one million, two hundred twenty-three thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 304 503 608 1006 1216 2012 2432 4024 8048 9557 16096 19114 32192 38228 64384 76456 152912 305824 611648 1223296