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2122054530224 = 241759616733221
BaseRepresentation
bin11110111000010100010…
…011100111010010110000
321111212101121222102002112
4132320110103213102300
5234231431424431344
64302505225104452
7306212326615346
oct36702423472260
97455347872075
102122054530224
11748a5a507972
122a3327928128
131251552a91a5
14749caa07996
153a2ed517c9e
hex1ee144e74b0

2122054530224 has 160 divisors (see below), whose sum is σ = 4507778537280. Its totient is φ = 963860889600.

The previous prime is 2122054530221. The next prime is 2122054530251. The reversal of 2122054530224 is 4220354502212.

It is not an unprimeable number, because it can be changed into a prime (2122054530221) 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, 658816934 + ... + 658820154.

It is an arithmetic number, because the mean of its divisors is an integer number (28173615858).

Almost surely, 22122054530224 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 2122054530224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2253889268640).

2122054530224 is an abundant number, since it is smaller than the sum of its proper divisors (2385724007056).

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

2122054530224 is a wasteful number, since it uses less digits than its factorization.

2122054530224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4039 (or 4033 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 32.

The spelling of 2122054530224 in words is "two trillion, one hundred twenty-two billion, fifty-four million, five hundred thirty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 17 34 59 61 68 118 122 136 236 244 272 472 488 673 944 976 1003 1037 1346 2006 2074 2692 3221 3599 4012 4148 5384 6442 7198 8024 8296 10768 11441 12884 14396 16048 16592 22882 25768 28792 39707 41053 45764 51536 54757 57584 61183 79414 82106 91528 109514 122366 158828 164212 183056 190039 196481 219028 244732 317656 328424 380078 392962 438056 489464 635312 656848 675019 697901 760156 785924 876112 978928 1350038 1395802 1520312 1571848 2167733 2422127 2700076 2791604 3040624 3143696 3230663 3340177 4335466 4844254 5400152 5583208 6461326 6680354 8670932 9688508 10800304 11166416 11592379 12922652 13360708 17341864 19377016 23184758 25845304 26721416 34683728 36851461 38754032 41176159 46369516 51690608 53442832 73702922 82352318 92739032 127896247 132231713 147405844 164704636 185478064 197070443 255792494 264463426 294811688 329409272 394140886 511584988 528926852 589623376 658818544 788281772 1023169976 1057853704 1576563544 2046339952 2115707408 2174236199 2247939121 3153127088 4348472398 4495878242 7801671067 8696944796 8991756484 15603342134 17393889592 17983512968 31206684268 34787779184 35967025936 62413368536 124826737072 132628408139 265256816278 530513632556 1061027265112 2122054530224