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302221214120 = 23572769200513
BaseRepresentation
bin1000110010111011100…
…10011100000110101000
31001220002022112101200202
410121131302130012220
514422422112322440
6350501041251332
730556215635300
oct4313562340650
91056068471622
10302221214120
11107197aa6351
124a6a5333b48
132266507a1a7
14108b0142600
157cdc6bb615
hex465dc9c1a8

302221214120 has 96 divisors (see below), whose sum is σ = 792050351400. Its totient is φ = 103483441152.

The previous prime is 302221214107. The next prime is 302221214137. The reversal of 302221214120 is 21412122203.

It can be written as a sum of positive squares in 4 ways, for example, as 185559346756 + 116661867364 = 430766^2 + 341558^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 302221214092 and 302221214101.

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, 1406984 + ... + 1607496.

Almost surely, 2302221214120 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 302221214120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396025175700).

302221214120 is an abundant number, since it is smaller than the sum of its proper divisors (489829137280).

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

302221214120 is a wasteful number, since it uses less digits than its factorization.

302221214120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201307 (or 201296 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 302221214120 its reverse (21412122203), we get a palindrome (323633336323).

The spelling of 302221214120 in words is "three hundred two billion, two hundred twenty-one million, two hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 769 980 1538 1960 3076 3845 5383 6152 7690 10766 15380 21532 26915 30760 37681 43064 53830 75362 107660 150724 188405 200513 215320 301448 376810 401026 753620 802052 1002565 1403591 1507240 1604104 2005130 2807182 4010260 5614364 7017955 8020520 9825137 11228728 14035910 19650274 28071820 39300548 49125685 56143640 78601096 98251370 154194497 196502740 308388994 393005480 616777988 770972485 1079361479 1233555976 1541944970 2158722958 3083889940 4317445916 5396807395 6167779880 7555530353 8634891832 10793614790 15111060706 21587229580 30222121412 37777651765 43174459160 60444242824 75555303530 151110607060 302221214120