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221232432223240 = 23517325341812093
BaseRepresentation
bin110010010011010110110000…
…100010010001010000001000
31002000022121120120202022121221
4302103112300202101100020
5212444133010122120430
62102304435403211424
764412341623363244
oct6223266042212010
91060277516668557
10221232432223240
1164545169521859
12209903b1b16b74
13965a18a0b1249
143c8b9c7861424
151a89b6b02857a
hexc935b0891408

221232432223240 has 32 divisors (see below), whose sum is σ = 527053735592280. Its totient is φ = 83287503895552.

The previous prime is 221232432223219. The next prime is 221232432223343. The reversal of 221232432223240 is 42322234232122.

It can be written as a sum of positive squares in 4 ways, for example, as 221189531043364 + 42901179876 = 14872442^2 + 207126^2 .

It is a super-3 number, since 3×2212324322232403 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 221232432223196 and 221232432223205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 162670905367 + ... + 162670906726.

Almost surely, 2221232432223240 is an apocalyptic number.

221232432223240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221232432223240 is an abundant number, since it is smaller than the sum of its proper divisors (305821303369040).

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

221232432223240 is a wasteful number, since it uses less digits than its factorization.

221232432223240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325341812121 (or 325341812117 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 34.

Adding to 221232432223240 its reverse (42322234232122), we get a palindrome (263554666455362).

The spelling of 221232432223240 in words is "two hundred twenty-one trillion, two hundred thirty-two billion, four hundred thirty-two million, two hundred twenty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 325341812093 650683624186 1301367248372 1626709060465 2602734496744 3253418120930 5530810805581 6506836241860 11061621611162 13013672483720 22123243222324 27654054027905 44246486444648 55308108055810 110616216111620 221232432223240