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223413024 = 25313716987
BaseRepresentation
bin11010101000100…
…00001100100000
3120120101120001110
431110100030200
5424143204044
634100303320
75351656632
oct1524201440
9516346043
10223413024
1110512456a
12629a1b40
1337394073
1421958a52
15149316b9
hexd510320

223413024 has 48 divisors (see below), whose sum is σ = 590774688. Its totient is φ = 73923072.

The previous prime is 223413023. The next prime is 223413037. The reversal of 223413024 is 420314322.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (223413023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4659 + ... + 21645.

It is an arithmetic number, because the mean of its divisors is an integer number (12307806).

Almost surely, 2223413024 is an apocalyptic number.

223413024 is a gapful number since it is divisible by the number (24) 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 223413024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295387344).

223413024 is an abundant number, since it is smaller than the sum of its proper divisors (367361664).

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

223413024 is a wasteful number, since it uses less digits than its factorization.

223413024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17137 (or 17129 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 223413024 is about 14947.0071920769. The cubic root of 223413024 is about 606.7868527064.

Adding to 223413024 its reverse (420314322), we get a palindrome (643727346).

The spelling of 223413024 in words is "two hundred twenty-three million, four hundred thirteen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 137 274 411 548 822 1096 1644 2192 3288 4384 6576 13152 16987 33974 50961 67948 101922 135896 203844 271792 407688 543584 815376 1630752 2327219 4654438 6981657 9308876 13963314 18617752 27926628 37235504 55853256 74471008 111706512 223413024