Search a number
-
+
221115410515380 = 223519585733116081
BaseRepresentation
bin110010010001101001110001…
…011111111000010110110100
31001222220102112010202121212210
4302101221301133320112310
5212440223330042443010
62102135003422013420
764401030000312303
oct6221516137702664
91058812463677783
10221115410515380
11644aa5788506a7
1220971793717270
13964c12ac4a824
143c86085cb043a
151a86abc779b20
hexc91a717f85b4

221115410515380 has 96 divisors (see below), whose sum is σ = 651819868076160. Its totient is φ = 55851196170240.

The previous prime is 221115410515379. The next prime is 221115410515381. The reversal of 221115410515380 is 83515014511122.

It is an interprime number because it is at equal distance from previous prime (221115410515379) and next prime (221115410515381).

It is a super-3 number, since 3×2211154105153803 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221115410515381) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9881061 + ... + 23235020.

It is an arithmetic number, because the mean of its divisors is an integer number (6789790292460).

Almost surely, 2221115410515380 is an apocalyptic number.

221115410515380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221115410515380 is an abundant number, since it is smaller than the sum of its proper divisors (430704457560780).

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

221115410515380 is a wasteful number, since it uses less digits than its factorization.

221115410515380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33121969 (or 33121967 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 39.

The spelling of 221115410515380 in words is "two hundred twenty-one trillion, one hundred fifteen billion, four hundred ten million, five hundred fifteen thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 5857 11714 17571 23428 29285 35142 58570 70284 87855 111283 117140 175710 222566 333849 351420 445132 556415 667698 1112830 1335396 1669245 2225660 3338490 6676980 33116081 66232162 99348243 132464324 165580405 198696486 331160810 397392972 496741215 629205539 662321620 993482430 1258411078 1887616617 1986964860 2516822156 3146027695 3775233234 6292055390 7550466468 9438083085 12584110780 18876166170 37752332340 193960886417 387921772834 581882659251 775843545668 969804432085 1163765318502 1939608864170 2327530637004 2909413296255 3685256841923 3879217728340 5818826592510 7370513683846 11055770525769 11637653185020 14741027367692 18426284209615 22111541051538 36852568419230 44223082103076 55278852628845 73705136838460 110557705257690 221115410515380