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221312220032 = 273155774249
BaseRepresentation
bin1100111000011100111…
…1000111101110000000
3210011020121222122020002
43032013033013232000
512111221412020112
6245400332535132
721663215555201
oct3160717075600
9704217878202
10221312220032
1185948a84592
1236a850214a8
1317b3c81cc67
14a9d67895a8
155b544e61c2
hex33873c7b80

221312220032 has 32 divisors (see below), whose sum is σ = 455117880000. Its totient is φ = 107086556160.

The previous prime is 221312220007. The next prime is 221312220067. The reversal of 221312220032 is 230022213122.

It is a happy number.

221312220032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 221312219986 and 221312220013.

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 3 ways as a sum of consecutive naturals, for example, 27883157 + ... + 27891092.

It is an arithmetic number, because the mean of its divisors is an integer number (14222433750).

Almost surely, 2221312220032 is an apocalyptic number.

It is an amenable number.

221312220032 is an abundant number, since it is smaller than the sum of its proper divisors (233805659968).

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

221312220032 is an equidigital number, since it uses as much as digits as its factorization.

221312220032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55774294 (or 55774282 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 221312220032 its reverse (230022213122), we get a palindrome (451334433154).

The spelling of 221312220032 in words is "two hundred twenty-one billion, three hundred twelve million, two hundred twenty thousand, thirty-two".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 496 992 1984 3968 55774249 111548498 223096996 446193992 892387984 1729001719 1784775968 3458003438 3569551936 6916006876 7139103872 13832013752 27664027504 55328055008 110656110016 221312220032