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204112224 = 253526249
BaseRepresentation
bin11000010101010…
…00000101100000
3112020001222100000
430022220011200
5404223042344
632130500000
75025632241
oct1412500540
9466058300
10204112224
11a5241598
1258434600
1333396c84
141d172cc8
1512dbca69
hexc2a8160

204112224 has 72 divisors (see below), whose sum is σ = 601965000. Its totient is φ = 68034816.

The previous prime is 204112219. The next prime is 204112229. The reversal of 204112224 is 422211402.

It is an interprime number because it is at equal distance from previous prime (204112219) and next prime (204112229).

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 204112197 and 204112206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204112229) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5349 + ... + 20900.

It is an arithmetic number, because the mean of its divisors is an integer number (8360625).

Almost surely, 2204112224 is an apocalyptic number.

204112224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

204112224 is an abundant number, since it is smaller than the sum of its proper divisors (397852776).

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

204112224 is an equidigital number, since it uses as much as digits as its factorization.

204112224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26274 (or 26254 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 204112224 is about 14286.7849427364. The cubic root of 204112224 is about 588.7844590160.

Adding to 204112224 its reverse (422211402), we get a palindrome (626323626).

The spelling of 204112224 in words is "two hundred four million, one hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1944 2592 3888 7776 26249 52498 78747 104996 157494 209992 236241 314988 419984 472482 629976 708723 839968 944964 1259952 1417446 1889928 2126169 2519904 2834892 3779856 4252338 5669784 6378507 7559712 8504676 11339568 12757014 17009352 22679136 25514028 34018704 51028056 68037408 102056112 204112224