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2241233044024 = 2313192362316477
BaseRepresentation
bin100000100111010011111…
…001100100001000111000
321221021000101101012101011
4200213103321210020320
5243210021124402044
64433335214203304
7320631562355302
oct40472371441070
97837011335334
102241233044024
11794557696277
123024484b3534
13133469229940
147a694bd0972
153d476300134
hex209d3e64238

2241233044024 has 96 divisors (see below), whose sum is σ = 4777898922720. Its totient is φ = 979642397952.

The previous prime is 2241233044013. The next prime is 2241233044027. The reversal of 2241233044024 is 4204403321422.

It is a super-2 number, since 2×22412330440242 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2241233044027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136013674 + ... + 136030150.

It is an arithmetic number, because the mean of its divisors is an integer number (49769780445).

Almost surely, 22241233044024 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 2241233044024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2388949461360).

2241233044024 is an abundant number, since it is smaller than the sum of its proper divisors (2536665878696).

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

2241233044024 is a wasteful number, since it uses less digits than its factorization.

2241233044024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20157 (or 20134 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 31.

Adding to 2241233044024 its reverse (4204403321422), we get a palindrome (6445636365446).

The spelling of 2241233044024 in words is "two trillion, two hundred forty-one billion, two hundred thirty-three million, forty-four thousand, twenty-four".

Divisors: 1 2 4 8 13 19 26 38 52 76 104 152 247 361 494 722 988 1444 1976 2888 3623 4693 7246 9386 14492 16477 18772 28984 32954 37544 47099 65908 68837 94198 131816 137674 188396 214201 275348 313063 376792 428402 550696 626126 856804 894881 1252252 1307903 1713608 1789762 2504504 2615806 3579524 4069819 5231612 5948197 7159048 8139638 10463224 11896394 16279276 17002739 23792788 32558552 34005478 47585576 59696171 68010956 77326561 119392342 136021912 154653122 238784684 309306244 477569368 618612488 776050223 1134227249 1552100446 2268454498 3104200892 4536908996 6208401784 9073817992 14744954237 21550317731 29489908474 43100635462 58979816948 86201270924 117959633896 172402541848 280154130503 560308261006 1120616522012 2241233044024