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223444320 = 253511101419
BaseRepresentation
bin11010101000101…
…11110101100000
3120120110010222120
431110113311200
5424200204240
634101104240
75352150111
oct1524276540
9516403876
10223444320
11105146030
12629b8080
13373a5398
1421966208
151493aad0
hexd517d60

223444320 has 192 divisors, whose sum is σ = 777288960. Its totient is φ = 53504000.

The previous prime is 223444303. The next prime is 223444321. The reversal of 223444320 is 23444322.

223444320 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223444321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 533071 + ... + 533489.

It is an arithmetic number, because the mean of its divisors is an integer number (4048380).

Almost surely, 2223444320 is an apocalyptic number.

223444320 is a gapful number since it is divisible by the number (20) 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 223444320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388644480).

223444320 is an abundant number, since it is smaller than the sum of its proper divisors (553844640).

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

223444320 is a wasteful number, since it uses less digits than its factorization.

223444320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 223444320 is about 14948.0540539563. The cubic root of 223444320 is about 606.8151845591.

Adding to 223444320 its reverse (23444322), we get a palindrome (246888642).

The spelling of 223444320 in words is "two hundred twenty-three million, four hundred forty-four thousand, three hundred twenty".