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212223223120 = 2457336339593
BaseRepresentation
bin1100010110100101111…
…1010110010101010000
3202021210012102202101211
43011221133112111100
511434113121114440
6241254412105504
721222042430006
oct3055137262520
9667705382354
10212223223120
1182004527697
1235169165294
13170217ac48c
14a3b3608a76
1557c15d9eea
hex31697d6550

212223223120 has 40 divisors (see below), whose sum is σ = 500178171816. Its totient is φ = 83726419968.

The previous prime is 212223223087. The next prime is 212223223181. The reversal of 212223223120 is 21322322212.

212223223120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 96402798144 + 115820424976 = 310488^2 + 340324^2 .

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 = 212223223091 and 212223223100.

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, 18163957 + ... + 18175636.

Almost surely, 2212223223120 is an apocalyptic number.

212223223120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212223223120 is an abundant number, since it is smaller than the sum of its proper divisors (287954948696).

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

212223223120 is a wasteful number, since it uses less digits than its factorization.

212223223120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36339679 (or 36339673 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 212223223120 its reverse (21322322212), we get a palindrome (233545545332).

The spelling of 212223223120 in words is "two hundred twelve billion, two hundred twenty-three million, two hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 73 80 146 292 365 584 730 1168 1460 2920 5840 36339593 72679186 145358372 181697965 290716744 363395930 581433488 726791860 1453583720 2652790289 2907167440 5305580578 10611161156 13263951445 21222322312 26527902890 42444644624 53055805780 106111611560 212223223120