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2198657093022 = 233135961870239
BaseRepresentation
bin11111111111101010001…
…011001100110110011110
321210012010012012210102000
4133333222023030312132
5242010322203434042
64402014335543130
7314563525635255
oct37775213146636
97705105183360
102198657093022
11778499679105
122b614598aaa6
1312c4425a4820
14785b648179c
153c2d35d874c
hex1ffea2ccd9e

2198657093022 has 128 divisors (see below), whose sum is σ = 5438651904000. Its totient is φ = 654140499840.

The previous prime is 2198657093021. The next prime is 2198657093027. The reversal of 2198657093022 is 2203907568912.

2198657093022 is a `hidden beast` number, since 2 + 19 + 8 + 6 + 570 + 9 + 30 + 22 = 666.

It is a super-2 number, since 2×21986570930222 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2198657093022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2198657093021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2091379 + ... + 2961617.

It is an arithmetic number, because the mean of its divisors is an integer number (42489468000).

Almost surely, 22198657093022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2198657093022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2719325952000).

2198657093022 is an abundant number, since it is smaller than the sum of its proper divisors (3239994810978).

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

2198657093022 is a wasteful number, since it uses less digits than its factorization.

2198657093022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870383 (or 870377 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 2198657093022 in words is "two trillion, one hundred ninety-eight billion, six hundred fifty-seven million, ninety-three thousand, twenty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 59 61 78 117 118 122 177 183 234 351 354 366 531 549 702 767 793 1062 1098 1534 1586 1593 1647 2301 2379 3186 3294 3599 4602 4758 6903 7137 7198 10797 13806 14274 20709 21411 21594 32391 41418 42822 46787 64782 93574 97173 140361 194346 280722 421083 842166 870239 1263249 1740478 2526498 2610717 5221434 7832151 11313107 15664302 22626214 23496453 33939321 46992906 51344101 53084579 67878642 101817963 102688202 106169158 154032303 159253737 203635926 305453889 308064606 318507474 462096909 477761211 610907778 667473313 690099527 924193818 955522422 1334946626 1380199054 1386290727 1433283633 2002419939 2070298581 2772581454 2866567266 3131990161 4004839878 4140597162 6007259817 6210895743 6263980322 9395970483 12014519634 12421791486 18021779451 18632687229 18791940966 28187911449 36043558902 37265374458 40715872093 56375822898 81431744186 84563734347 122147616279 169127468694 244295232558 366442848837 732885697674 1099328546511 2198657093022