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12222352240 = 245732112111
BaseRepresentation
bin10110110001000001…
…00100101101110000
31011112210111211021121
423120200210231300
5200012410232430
65340451232024
7611611165000
oct133040445560
934483454247
1012222352240
11520222115a
1224512a8614
1311ca246ab7
1483d37c000
154b8042a7a
hex2d8824b70

12222352240 has 160 divisors (see below), whose sum is σ = 33312153600. Its totient is φ = 4168684800.

The previous prime is 12222352223. The next prime is 12222352271. The reversal of 12222352240 is 4225322221.

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, 5788785 + ... + 5790895.

It is an arithmetic number, because the mean of its divisors is an integer number (208200960).

Almost surely, 212222352240 is an apocalyptic number.

12222352240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12222352240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16656076800).

12222352240 is an abundant number, since it is smaller than the sum of its proper divisors (21089801360).

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

12222352240 is a wasteful number, since it uses less digits than its factorization.

12222352240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2356 (or 2336 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 12222352240 its reverse (4225322221), we get a palindrome (16447674461).

The spelling of 12222352240 in words is "twelve billion, two hundred twenty-two million, three hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 211 245 280 343 392 422 490 560 686 784 844 980 1055 1372 1477 1688 1715 1960 2110 2111 2744 2954 3376 3430 3920 4220 4222 5488 5908 6860 7385 8440 8444 10339 10555 11816 13720 14770 14777 16880 16888 20678 21110 23632 27440 29540 29554 33776 41356 42220 51695 59080 59108 72373 73885 82712 84440 103390 103439 118160 118216 144746 147770 165424 168880 206780 206878 236432 289492 295540 361865 413560 413756 445421 517195 578984 591080 723730 724073 827120 827512 890842 1034390 1157968 1182160 1447460 1448146 1655024 1781684 2068780 2227105 2894920 2896292 3117947 3563368 3620365 4137560 4454210 5789840 5792584 6235894 7126736 7240730 8275120 8908420 11585168 12471788 14481460 15589735 17816840 21825629 24943576 28962920 31179470 35633680 43651258 49887152 57925840 62358940 87302516 109128145 124717880 152779403 174605032 218256290 249435760 305558806 349210064 436512580 611117612 763897015 873025160 1222235224 1527794030 1746050320 2444470448 3055588060 6111176120 12222352240