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221312330340 = 22354385779973
BaseRepresentation
bin1100111000011100111…
…1100010101001100100
3210011020122012020112120
43032013033202221210
512111221424032330
6245400335145540
721663216524613
oct3160717425144
9704218166476
10221312330340
118594904a452
1236a850752b0
1317b3c85b22a
14a9d67b787a
155b54518c10
hex33873e2a64

221312330340 has 48 divisors (see below), whose sum is σ = 634085567808. Its totient is φ = 57644141184.

The previous prime is 221312330269. The next prime is 221312330347. The reversal of 221312330340 is 43033213122.

221312330340 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 221312330340.

It is not an unprimeable number, because it can be changed into a prime (221312330347) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 42887407 + ... + 42892566.

It is an arithmetic number, because the mean of its divisors is an integer number (13210115996).

Almost surely, 2221312330340 is an apocalyptic number.

221312330340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221312330340 is an abundant number, since it is smaller than the sum of its proper divisors (412773237468).

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

221312330340 is a wasteful number, since it uses less digits than its factorization.

221312330340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85780028 (or 85780026 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 221312330340 its reverse (43033213122), we get a palindrome (264345543462).

The spelling of 221312330340 in words is "two hundred twenty-one billion, three hundred twelve million, three hundred thirty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 258 430 516 645 860 1290 2580 85779973 171559946 257339919 343119892 428899865 514679838 857799730 1029359676 1286699595 1715599460 2573399190 3688538839 5146798380 7377077678 11065616517 14754155356 18442694195 22131233034 36885388390 44262466068 55328082585 73770776780 110656165170 221312330340