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204422241324 = 22372618964037
BaseRepresentation
bin1011111001100010000…
…0111101110000101100
3201112122112111211011010
42332120200331300230
511322124043210244
6233524342025220
720524526244600
oct2763040756054
9645575454133
10204422241324
11797710315a4
1233750718210
131637a56b812
149c73549500
1554b6802eb9
hex2f9883dc2c

204422241324 has 144 divisors (see below), whose sum is σ = 570301935840. Its totient is φ = 56802493440.

The previous prime is 204422241271. The next prime is 204422241341. The reversal of 204422241324 is 423142224402.

It is a happy number.

204422241324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 204422241291 and 204422241300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3160234 + ... + 3224270.

It is an arithmetic number, because the mean of its divisors is an integer number (3960430110).

Almost surely, 2204422241324 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 204422241324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285150967920).

204422241324 is an abundant number, since it is smaller than the sum of its proper divisors (365879694516).

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

204422241324 is a wasteful number, since it uses less digits than its factorization.

204422241324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64208 (or 64199 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 204422241324 its reverse (423142224402), we get a palindrome (627564465726).

The spelling of 204422241324 in words is "two hundred four billion, four hundred twenty-two million, two hundred forty-one thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 61 84 89 98 122 147 178 183 196 244 267 294 356 366 427 534 588 623 732 854 1068 1246 1281 1708 1869 2492 2562 2989 3738 4361 5124 5429 5978 7476 8722 8967 10858 11956 13083 16287 17444 17934 21716 26166 32574 35868 38003 52332 64037 65148 76006 114009 128074 152012 192111 228018 256148 266021 384222 448259 456036 532042 768444 798063 896518 1064084 1344777 1596126 1793036 2689554 3137813 3192252 3906257 5379108 5699293 6275626 7812514 9413439 11398586 11718771 12551252 15625028 17097879 18826878 22797172 23437542 27343799 34195758 37653756 39895051 46875084 54687598 68391516 79790102 82031397 109375196 119685153 159580204 164062794 191406593 239370306 279265357 328125588 347656873 382813186 478740612 558530714 574219779 695313746 765626372 837796071 1042970619 1117061428 1148439558 1390627492 1675592142 2085941238 2296879116 2433598111 3351184284 4171882476 4867196222 7300794333 9734392444 14601588666 17035186777 29203177332 34070373554 51105560331 68140747108 102211120662 204422241324