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221030023324240 = 24513415183630941
BaseRepresentation
bin110010010000011010010000…
…000001100110001001010000
31001222121021010100200212221001
4302100122100001212021100
5212432323441432333430
62102031442502111344
764361615012210134
oct6220322001461120
91058537110625831
10221030023324240
1164477340a20139
122095912371b554
1396440709aba60
143c81ca58853c4
151a847713713ca
hexc90690066250

221030023324240 has 80 divisors (see below), whose sum is σ = 566923348864656. Its totient is φ = 79620571238400.

The previous prime is 221030023324153. The next prime is 221030023324273. The reversal of 221030023324240 is 42423320030122.

It can be written as a sum of positive squares in 8 ways, for example, as 91228936315456 + 129801087008784 = 9551384^2 + 11393028^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 221030023324199 and 221030023324208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2591772831 + ... + 2591858110.

Almost surely, 2221030023324240 is an apocalyptic number.

221030023324240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221030023324240 is an abundant number, since it is smaller than the sum of its proper divisors (345893325540416).

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

221030023324240 is a wasteful number, since it uses less digits than its factorization.

221030023324240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5183631008 (or 5183631002 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 221030023324240 its reverse (42423320030122), we get a palindrome (263453343354362).

The spelling of 221030023324240 in words is "two hundred twenty-one trillion, thirty billion, twenty-three million, three hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 41 52 65 80 82 104 130 164 205 208 260 328 410 520 533 656 820 1040 1066 1640 2132 2665 3280 4264 5330 8528 10660 21320 42640 5183630941 10367261882 20734523764 25918154705 41469047528 51836309410 67387202233 82938095056 103672618820 134774404466 207345237640 212528868581 269548808932 336936011165 414690475280 425057737162 539097617864 673872022330 850115474324 1062644342905 1078195235728 1347744044660 1700230948648 2125288685810 2695488089320 2762875291553 3400461897296 4250577371620 5390976178640 5525750583106 8501154743240 11051501166212 13814376457765 17002309486480 22103002332424 27628752915530 44206004664848 55257505831060 110515011662120 221030023324240