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2120223122190 = 232589577458747
BaseRepresentation
bin11110110110100111001…
…001010110001100001110
321111200122222212020120100
4132312213021112030032
5234214204104402230
64302003403431530
7306116051116335
oct36664711261416
97450588766510
102120223122190
117481aa750a08
122a2ab65255a6
13124c22a402b4
14748956b6d1c
153a242858660
hex1eda725630e

2120223122190 has 96 divisors (see below), whose sum is σ = 5584192604640. Its totient is φ = 558070013952.

The previous prime is 2120223122177. The next prime is 2120223122191. The reversal of 2120223122190 is 912213220212.

2120223122190 is a `hidden beast` number, since 2 + 1 + 202 + 231 + 221 + 9 + 0 = 666.

It is a super-2 number, since 2×21202231221902 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120223122191) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4392397 + ... + 4851143.

It is an arithmetic number, because the mean of its divisors is an integer number (58168672965).

Almost surely, 22120223122190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120223122190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2792096302320).

2120223122190 is an abundant number, since it is smaller than the sum of its proper divisors (3463969482450).

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

2120223122190 is a wasteful number, since it uses less digits than its factorization.

2120223122190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459426 (or 459423 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 2120223122190 in words is "two trillion, one hundred twenty billion, two hundred twenty-three million, one hundred twenty-two thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 89 90 178 267 445 534 577 801 890 1154 1335 1602 1731 2670 2885 3462 4005 5193 5770 8010 8655 10386 17310 25965 51353 51930 102706 154059 256765 308118 458747 462177 513530 770295 917494 924354 1376241 1540590 2293735 2310885 2752482 4128723 4587470 4621770 6881205 8257446 13762410 20643615 40828483 41287230 81656966 122485449 204142415 244970898 264697019 367456347 408284830 529394038 612427245 734912694 794091057 1224854490 1323485095 1588182114 1837281735 2382273171 2646970190 3674563470 3970455285 4764546342 7940910570 11911365855 23558034691 23822731710 47116069382 70674104073 117790173455 141348208146 212022312219 235580346910 353370520365 424044624438 706741040730 1060111561095 2120223122190