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2243140240122 = 23219109509911801
BaseRepresentation
bin100000101001000101100…
…100111100001011111010
321221102221022002210120200
4200221011210330023322
5243222422400140442
64434252344103030
7321030051305625
oct40510544741372
97842838083520
102243140240122
117953462069a1
1230289b164a76
131336b13aca42
147a7d620cdbc
153d53898034c
hex20a4593c2fa

2243140240122 has 96 divisors (see below), whose sum is σ = 5164319160000. Its totient is φ = 701664249600.

The previous prime is 2243140240097. The next prime is 2243140240153. The reversal of 2243140240122 is 2210420413422.

It is a happy number.

2243140240122 is a `hidden beast` number, since 2 + 243 + 1 + 402 + 4 + 0 + 12 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 190074622 + ... + 190086422.

It is an arithmetic number, because the mean of its divisors is an integer number (53794991250).

Almost surely, 22243140240122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2243140240122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2582159580000).

2243140240122 is an abundant number, since it is smaller than the sum of its proper divisors (2921178919878).

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

2243140240122 is a wasteful number, since it uses less digits than its factorization.

2243140240122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17036 (or 17033 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 2243140240122 its reverse (2210420413422), we get a palindrome (4453560653544).

The spelling of 2243140240122 in words is "two trillion, two hundred forty-three billion, one hundred forty million, two hundred forty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 38 57 109 114 171 218 327 342 654 981 1962 2071 4142 5099 6213 10198 11801 12426 15297 18639 23602 30594 35403 37278 45891 70806 91782 96881 106209 193762 212418 224219 290643 448438 555791 581286 672657 871929 1111582 1286309 1345314 1667373 1743858 2017971 2572618 3334746 3858927 4035942 5002119 7717854 10004238 10560029 11576781 21120058 23153562 24439871 31680087 48879742 60173299 63360174 73319613 95040261 120346598 146639226 180519897 190080522 219958839 361039794 439917678 541559691 1083119382 1143292681 2286585362 3429878043 6558889591 6859756086 10289634129 13117779182 19676668773 20579268258 39353337546 59030006319 118060012638 124618902229 249237804458 373856706687 747713413374 1121570120061 2243140240122