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223244001 = 32297311717
BaseRepresentation
bin11010100111001…
…10111011100001
3120120001222012100
431103212323201
5424122302001
634052521013
75350354101
oct1523467341
9516058170
10223244001
11105019582
1262920169
1337335156
1421913201
15148eb586
hexd4e6ee1

223244001 has 24 divisors (see below), whose sum is σ = 338181480. Its totient is φ = 141716736.

The previous prime is 223243997. The next prime is 223244011. The reversal of 223244001 is 100442322.

223244001 is a `hidden beast` number, since 223 + 2 + 440 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1382976 + 221861025 = 1176^2 + 14895^2 .

It is not a de Polignac number, because 223244001 - 22 = 223243997 is a prime.

It is a super-3 number, since 3×2232440013 (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (223244011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13195 + ... + 24911.

It is an arithmetic number, because the mean of its divisors is an integer number (14090895).

Almost surely, 2223244001 is an apocalyptic number.

It is an amenable number.

223244001 is a deficient number, since it is larger than the sum of its proper divisors (114937479).

223244001 is a wasteful number, since it uses less digits than its factorization.

223244001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11825 (or 11822 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 223244001 is about 14941.3520472546. The cubic root of 223244001 is about 606.6337926812.

Adding to 223244001 its reverse (100442322), we get a palindrome (323686323).

The spelling of 223244001 in words is "two hundred twenty-three million, two hundred forty-four thousand, one".

Divisors: 1 3 9 29 73 87 219 261 657 2117 6351 11717 19053 35151 105453 339793 855341 1019379 2566023 3058137 7698069 24804889 74414667 223244001