Search a number
-
+
226125025216024 = 231141271231266543
BaseRepresentation
bin110011011010100011010101…
…110011011000011000011000
31002122122100012210122011001211
4303122203111303120120120
5214114313022423403044
62120532222534552504
765425664631552604
oct6332432563303030
91078570183564054
10226125025216024
11660610a2738050
1221440665508734
139923662c36c6c
143dba71c560504
151b2206e0eb634
hexcda8d5cd8618

226125025216024 has 64 divisors (see below), whose sum is σ = 475558019758080. Its totient is φ = 99907146144000.

The previous prime is 226125025216021. The next prime is 226125025216117. The reversal of 226125025216024 is 420612520521622.

It is a super-2 number, since 2×2261250252160242 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226125025216021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114655504 + ... + 116611039.

It is an arithmetic number, because the mean of its divisors is an integer number (7430594058720).

Almost surely, 2226125025216024 is an apocalyptic number.

It is an amenable number.

226125025216024 is an abundant number, since it is smaller than the sum of its proper divisors (249432994542056).

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

226125025216024 is a wasteful number, since it uses less digits than its factorization.

226125025216024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231266872 (or 231266868 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 40.

Adding to 226125025216024 its reverse (420612520521622), we get a palindrome (646737545737646).

The spelling of 226125025216024 in words is "two hundred twenty-six trillion, one hundred twenty-five billion, twenty-five million, two hundred sixteen thousand, twenty-four".

Divisors: 1 2 4 8 11 22 41 44 82 88 164 271 328 451 542 902 1084 1804 2168 2981 3608 5962 11111 11924 22222 23848 44444 88888 122221 244442 488884 977768 231266543 462533086 925066172 1850132344 2543931973 5087863946 9481928263 10175727892 18963856526 20351455784 37927713052 62673233153 75855426104 104301210893 125346466306 208602421786 250692932612 417204843572 501385865224 689405564683 834409687144 1378811129366 2569602559273 2757622258732 5139205118546 5515244517464 10278410237092 20556820474184 28265628152003 56531256304006 113062512608012 226125025216024