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1222635016240 = 245117358732423
BaseRepresentation
bin10001110010101010101…
…110011101000000110000
311022212211112111001222021
4101302222232131000300
5130012424031004430
62333400515321224
7154222015111021
oct21625256350060
94285745431867
101222635016240
11431575657890
12178b55bb0214
138b3a8b75841
1443266768c48
1521c0be5207a
hex11caab9d030

1222635016240 has 160 divisors (see below), whose sum is σ = 3148979452416. Its totient is φ = 437743687680.

The previous prime is 1222635016193. The next prime is 1222635016243. The reversal of 1222635016240 is 426105362221.

It is a junction number, because it is equal to n+sod(n) for n = 1222635016196 and 1222635016205.

It is not an unprimeable number, because it can be changed into a prime (1222635016243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37692669 + ... + 37725091.

Almost surely, 21222635016240 is an apocalyptic number.

1222635016240 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 1222635016240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1574489726208).

1222635016240 is an abundant number, since it is smaller than the sum of its proper divisors (1926344436176).

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

1222635016240 is a wasteful number, since it uses less digits than its factorization.

1222635016240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33107 (or 33101 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The spelling of 1222635016240 in words is "one trillion, two hundred twenty-two billion, six hundred thirty-five million, sixteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 73 80 88 110 146 176 220 292 365 440 584 587 730 803 880 1168 1174 1460 1606 2348 2920 2935 3212 4015 4696 5840 5870 6424 6457 8030 9392 11740 12848 12914 16060 23480 25828 32120 32285 32423 42851 46960 51656 64240 64570 64846 85702 103312 129140 129692 162115 171404 214255 258280 259384 324230 342808 356653 428510 471361 516560 518768 648460 685616 713306 857020 942722 1296920 1426612 1714040 1783265 1885444 2356805 2366879 2593840 2853224 3428080 3566530 3770888 4713610 4733758 5706448 7133060 7541776 9427220 9467516 11834395 14266120 18854440 18935032 19032301 23668790 26035669 28532240 37708880 37870064 38064602 47337580 52071338 76129204 94675160 95161505 104142676 130178345 152258408 189350320 190323010 208285352 209355311 260356690 304516816 380646020 416570704 418710622 520713380 761292040 837421244 1041426760 1046776555 1389357973 1522584080 1674842488 2082853520 2093553110 2778715946 3349684976 4187106220 5557431892 6946789865 8374212440 11114863784 13893579730 15282937703 16748424880 22229727568 27787159460 30565875406 55574318920 61131750812 76414688515 111148637840 122263501624 152829377030 244527003248 305658754060 611317508120 1222635016240