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122220283696 = 2472479913347
BaseRepresentation
bin111000111010011100…
…1011000011100110000
3102200110202000201010221
41301310321120130300
54000301343034241
6132051444502424
711554506161500
oct1616471303460
9380422021127
10122220283696
1147919189125
121b82b3aaa14
13b6aa19b2c4
145cb6183a00
1532a4d7c5d1
hex1c74e58730

122220283696 has 120 divisors (see below), whose sum is σ = 281692256256. Its totient is φ = 51198618240.

The previous prime is 122220283657. The next prime is 122220283711. The reversal of 122220283696 is 696382022221.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36514695 + ... + 36518041.

Almost surely, 2122220283696 is an apocalyptic number.

122220283696 is a gapful number since it is divisible by the number (16) 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 122220283696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140846128128).

122220283696 is an abundant number, since it is smaller than the sum of its proper divisors (159471972560).

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

122220283696 is a wasteful number, since it uses less digits than its factorization.

122220283696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4407 (or 4394 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 43.

The spelling of 122220283696 in words is "one hundred twenty-two billion, two hundred twenty million, two hundred eighty-three thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 47 49 56 94 98 112 188 196 329 376 392 658 752 784 991 1316 1982 2303 2632 3347 3964 4606 5264 6694 6937 7928 9212 13388 13874 15856 18424 23429 26776 27748 36848 46577 46858 48559 53552 55496 93154 93716 97118 110992 157309 164003 186308 187432 194236 314618 326039 328006 372616 374864 388472 629236 652078 656012 745232 776944 1101163 1258472 1304156 1312024 2202326 2282273 2516944 2608312 2624048 3316877 4404652 4564546 5216624 6633754 7708141 8809304 9129092 13267508 15416282 17618608 18258184 23218139 26535016 30832564 36516368 46436278 53070032 61665128 92872556 123330256 155893219 162526973 185745112 311786438 325053946 371490224 623572876 650107892 1091252533 1247145752 1300215784 2182505066 2494291504 2600431568 4365010132 7638767731 8730020264 15277535462 17460040528 30555070924 61110141848 122220283696