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224040314232 = 23337557266023
BaseRepresentation
bin1101000010100111010…
…1111110010101111000
3210102021202101011221000
43100221311332111320
512132313310023412
6250531145245000
722120633151460
oct3205165762570
9712252334830
10224040314232
1187018a0a099
1237506793760
1318185a92097
14abb4c12ba0
155c63c7a4dc
hex3429d7e578

224040314232 has 128 divisors (see below), whose sum is σ = 712518681600. Its totient is φ = 63896356224.

The previous prime is 224040314213. The next prime is 224040314263. The reversal of 224040314232 is 232413040422.

224040314232 is a `hidden beast` number, since 2 + 24 + 0 + 403 + 1 + 4 + 232 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 224040314196 and 224040314205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 709173 + ... + 975195.

It is an arithmetic number, because the mean of its divisors is an integer number (5566552200).

Almost surely, 2224040314232 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 224040314232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356259340800).

224040314232 is an abundant number, since it is smaller than the sum of its proper divisors (488478367368).

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

224040314232 is a wasteful number, since it uses less digits than its factorization.

224040314232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266602 (or 266592 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 224040314232 its reverse (232413040422), we get a palindrome (456453354654).

The spelling of 224040314232 in words is "two hundred twenty-four billion, forty million, three hundred fourteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 557 756 1114 1512 1671 2228 3342 3899 4456 5013 6684 7798 10026 11697 13368 15039 15596 20052 23394 30078 31192 35091 40104 46788 60156 70182 93576 105273 120312 140364 210546 266023 280728 421092 532046 798069 842184 1064092 1596138 1862161 2128184 2394207 3192276 3724322 4788414 5586483 6384552 7182621 7448644 9576828 11172966 14365242 14897288 16759449 19153656 22345932 28730484 33518898 44691864 50278347 57460968 67037796 100556694 134075592 148174811 201113388 296349622 402226776 444524433 592699244 889048866 1037223677 1185398488 1333573299 1778097732 2074447354 2667146598 3111671031 3556195464 4000719897 4148894708 5334293196 6223342062 8001439794 8297789416 9335013093 10668586392 12446684124 16002879588 18670026186 24893368248 28005039279 32005759176 37340052372 56010078558 74680104744 112020157116 224040314232