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224111030131040 = 25513272939481747
BaseRepresentation
bin110010111101001111101010…
…010101110101100101100000
31002101111210202000120022122212
4302331033222111311211200
5213333313342203143130
62112351104054421252
765130326151026513
oct6275175225654540
91071453660508585
10224111030131040
1165454a54a45828
1221176276661828
13980876c0c4c20
143d4b063116d7a
151ad999765be95
hexcbd3ea575960

224111030131040 has 96 divisors (see below), whose sum is σ = 570399130435680. Its totient is φ = 82718363971584.

The previous prime is 224111030130859. The next prime is 224111030131049. The reversal of 224111030131040 is 40131030111422.

It is a junction number, because it is equal to n+sod(n) for n = 224111030130997 and 224111030131015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224111030131049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14064554 + ... + 25417193.

It is an arithmetic number, because the mean of its divisors is an integer number (5941657608705).

Almost surely, 2224111030131040 is an apocalyptic number.

224111030131040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224111030131040 is an abundant number, since it is smaller than the sum of its proper divisors (346288100304640).

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

224111030131040 is a wasteful number, since it uses less digits than its factorization.

224111030131040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39484504 (or 39484496 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 224111030131040 its reverse (40131030111422), we get a palindrome (264242060242462).

The spelling of 224111030131040 in words is "two hundred twenty-four trillion, one hundred eleven billion, thirty million, one hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 2729 5458 10916 13645 21832 27290 35477 43664 54580 70954 87328 109160 141908 177385 218320 283816 354770 436640 567632 709540 1135264 1419080 2838160 5676320 39481747 78963494 157926988 197408735 315853976 394817470 513262711 631707952 789634940 1026525422 1263415904 1579269880 2053050844 2566313555 3158539760 4106101688 5132627110 6317079520 8212203376 10265254220 16424406752 20530508440 41061016880 82122033760 107745687563 215491375126 430982750252 538728437815 861965500504 1077456875630 1400693938319 1723931001008 2154913751260 2801387876638 3447862002016 4309827502520 5602775753276 7003469691595 8619655005040 11205551506552 14006939383190 17239310010080 22411103013104 28013878766380 44822206026208 56027757532760 112055515065520 224111030131040