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221222022124240 = 24512553220288001
BaseRepresentation
bin110010010011001101000100…
…000010111001001011010000
31002000021121201002022111102201
4302103031010002321023100
5212444000200130433430
62102255554410452544
764411522636115344
oct6223150402711320
91060247632274381
10221222022124240
1164540807274355
122098a387734154
1396591bb457857
143c8b2bb069624
151a8975c15e8ca
hexc933440b92d0

221222022124240 has 40 divisors (see below), whose sum is σ = 514382177342088. Its totient is φ = 88481759232000.

The previous prime is 221222022124223. The next prime is 221222022124261. The reversal of 221222022124240 is 42421220222122.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 33779855457936 + 187442166666304 = 5812044^2 + 13690952^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 221222022124199 and 221222022124208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109139761 + ... + 111148240.

Almost surely, 2221222022124240 is an apocalyptic number.

221222022124240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221222022124240 is an abundant number, since it is smaller than the sum of its proper divisors (293160155217848).

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

221222022124240 is a wasteful number, since it uses less digits than its factorization.

221222022124240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220300567 (or 220300561 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 221222022124240 its reverse (42421220222122), we get a palindrome (263643242346362).

The spelling of 221222022124240 in words is "two hundred twenty-one trillion, two hundred twenty-two billion, twenty-two million, one hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 12553 25106 50212 62765 100424 125530 200848 251060 502120 1004240 220288001 440576002 881152004 1101440005 1762304008 2202880010 3524608016 4405760020 8811520040 17623040080 2765275276553 5530550553106 11061101106212 13826376382765 22122202212424 27652752765530 44244404424848 55305505531060 110611011062120 221222022124240