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223444304 = 24293971213
BaseRepresentation
bin11010101000101…
…11110101010000
3120120110010221222
431110113311100
5424200204204
634101104212
75352150056
oct1524276520
9516403858
10223444304
11105146016
12629b8068
13373a5385
14219661d6
151493aabe
hexd517d50

223444304 has 40 divisors (see below), whose sum is σ = 449349960. Its totient is φ = 107509248.

The previous prime is 223444303. The next prime is 223444321. The reversal of 223444304 is 403444322.

223444304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 8880400 + 214563904 = 2980^2 + 14648^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223444303) 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, 183602 + ... + 184814.

It is an arithmetic number, because the mean of its divisors is an integer number (11233749).

Almost surely, 2223444304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223444304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224674980).

223444304 is an abundant number, since it is smaller than the sum of its proper divisors (225905656).

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

223444304 is a wasteful number, since it uses less digits than its factorization.

223444304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1647 (or 1641 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

The square root of 223444304 is about 14948.0535187696. The cubic root of 223444304 is about 606.8151700752.

Adding to 223444304 its reverse (403444322), we get a palindrome (626888626).

The spelling of 223444304 in words is "two hundred twenty-three million, four hundred forty-four thousand, three hundred four".

Divisors: 1 2 4 8 16 29 58 116 232 397 464 794 1213 1588 2426 3176 4852 6352 9704 11513 19408 23026 35177 46052 70354 92104 140708 184208 281416 481561 562832 963122 1926244 3852488 7704976 13965269 27930538 55861076 111722152 223444304