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223204104 = 23323100057
BaseRepresentation
bin11010100110111…
…01001100001000
3120112222221110200
431103131030020
5424120012404
634052012200
75350126554
oct1523351410
9515887420
10223204104
11104aa1602
1262901060
133731cc46
1421902864
15148de839
hexd4dd308

223204104 has 24 divisors (see below), whose sum is σ = 604511310. Its totient is φ = 74401344.

The previous prime is 223204057. The next prime is 223204109. The reversal of 223204104 is 401402322.

It can be written as a sum of positive squares in only one way, i.e., 192932100 + 30272004 = 13890^2 + 5502^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×2232041043 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (223204109) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 1549957 + ... + 1550100.

Almost surely, 2223204104 is an apocalyptic number.

223204104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

223204104 is an abundant number, since it is smaller than the sum of its proper divisors (381307206).

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

223204104 is a wasteful number, since it uses less digits than its factorization.

223204104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3100069 (or 3100062 counting only the distinct ones).

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

The square root of 223204104 is about 14940.0168674604. The cubic root of 223204104 is about 606.5976523889.

Adding to 223204104 its reverse (401402322), we get a palindrome (624606426).

The spelling of 223204104 in words is "two hundred twenty-three million, two hundred four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 3100057 6200114 9300171 12400228 18600342 24800456 27900513 37200684 55801026 74401368 111602052 223204104