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221302303220 = 22595331160717
BaseRepresentation
bin1100111000011010100…
…1010010100111110100
3210011012221022210220202
43032012221102213310
512111211342200340
6245355340220032
721663035353205
oct3160651224764
9704187283822
10221302303220
1185943420979
1236a8183a618
1317b3a75a21b
14a9d53275ac
155b536d7c15
hex3386a529f4

221302303220 has 24 divisors (see below), whose sum is σ = 464783987304. Its totient is φ = 88511559296.

The previous prime is 221302303199. The next prime is 221302303283. The reversal of 221302303220 is 22303203122.

221302303220 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 34944320356 + 186357982864 = 186934^2 + 431692^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 221302303192 and 221302303201.

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, 389699 + ... + 771018.

It is an arithmetic number, because the mean of its divisors is an integer number (19365999471).

Almost surely, 2221302303220 is an apocalyptic number.

221302303220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221302303220 is an abundant number, since it is smaller than the sum of its proper divisors (243481684084).

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

221302303220 is a wasteful number, since it uses less digits than its factorization.

221302303220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170259 (or 1170257 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 221302303220 its reverse (22303203122), we get a palindrome (243605506342).

The spelling of 221302303220 in words is "two hundred twenty-one billion, three hundred two million, three hundred three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 9533 19066 38132 47665 95330 190660 1160717 2321434 4642868 5803585 11607170 23214340 11065115161 22130230322 44260460644 55325575805 110651151610 221302303220