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22075204224 = 273232499457
BaseRepresentation
bin10100100011110010…
…001110001010000000
32002222110101120021110
4110203302032022000
5330202223013344
614050300123320
71411021065663
oct244362161200
962873346243
1022075204224
1193a8971737
124340b36540
13210a5c3528
1410d5b596da
158930363b9
hex523c8e280

22075204224 has 64 divisors (see below), whose sum is σ = 61186731840. Its totient is φ = 7038468096.

The previous prime is 22075204187. The next prime is 22075204243. The reversal of 22075204224 is 42240257022.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 22075204191 and 22075204200.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1240897 + ... + 1258560.

It is an arithmetic number, because the mean of its divisors is an integer number (956042685).

Almost surely, 222075204224 is an apocalyptic number.

22075204224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22075204224 is an abundant number, since it is smaller than the sum of its proper divisors (39111527616).

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

22075204224 is a wasteful number, since it uses less digits than its factorization.

22075204224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2499497 (or 2499485 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 30.

The spelling of 22075204224 in words is "twenty-two billion, seventy-five million, two hundred four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 276 368 384 552 736 1104 1472 2208 2944 4416 8832 2499457 4998914 7498371 9997828 14996742 19995656 29993484 39991312 57487511 59986968 79982624 114975022 119973936 159965248 172462533 229950044 239947872 319930496 344925066 459900088 479895744 689850132 919800176 959791488 1379700264 1839600352 2759400528 3679200704 5518801056 7358401408 11037602112 22075204224