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1223331424 = 257173143241
BaseRepresentation
bin100100011101010…
…1000111001100000
310011020220200020021
41020322220321200
510001133101144
6321220123224
742213100630
oct11072507140
93136820207
101223331424
115785a2007
122a1836514
131665a3063
14b86846c0
15725e8884
hex48ea8e60

1223331424 has 192 divisors, whose sum is σ = 3091156992. Its totient is φ = 464486400.

The previous prime is 1223331413. The next prime is 1223331449. The reversal of 1223331424 is 4241333221.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5075944 + ... + 5076184.

It is an arithmetic number, because the mean of its divisors is an integer number (16099776).

Almost surely, 21223331424 is an apocalyptic number.

1223331424 is a gapful number since it is divisible by the number (14) 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 1223331424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1545578496).

1223331424 is an abundant number, since it is smaller than the sum of its proper divisors (1867825568).

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

1223331424 is a wasteful number, since it uses less digits than its factorization.

1223331424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 341 counting only the distinct ones).

The product of its digits is 3456, while the sum is 25.

The square root of 1223331424 is about 34976.1550774238. The cubic root of 1223331424 is about 1069.5014488217.

Adding to 1223331424 its reverse (4241333221), we get a palindrome (5464664645).

The spelling of 1223331424 in words is "one billion, two hundred twenty-three million, three hundred thirty-one thousand, four hundred twenty-four".