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221345635240 = 2355533640881
BaseRepresentation
bin1100111000100100111…
…0100101101110101000
3210011022221212022021101
43032021032211232220
512111303440311430
6245403525051144
721664102566502
oct3161116455650
9704287768241
10221345635240
1185965927964
1236a94256ab4
1317b4671c582
14a9dada6d72
155b573e6dca
hex33893a5ba8

221345635240 has 16 divisors (see below), whose sum is σ = 498027679380. Its totient is φ = 88538254080.

The previous prime is 221345635237. The next prime is 221345635249. The reversal of 221345635240 is 42536543122.

221345635240 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 2 ways, for example, as 200472898564 + 20872736676 = 447742^2 + 144474^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 221345635240.

It is not an unprimeable number, because it can be changed into a prime (221345635249) 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 3 ways as a sum of consecutive naturals, for example, 2766820401 + ... + 2766820480.

Almost surely, 2221345635240 is an apocalyptic number.

221345635240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221345635240 is an abundant number, since it is smaller than the sum of its proper divisors (276682044140).

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

221345635240 is a wasteful number, since it uses less digits than its factorization.

221345635240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5533640892 (or 5533640888 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 37.

The spelling of 221345635240 in words is "two hundred twenty-one billion, three hundred forty-five million, six hundred thirty-five thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 5533640881 11067281762 22134563524 27668204405 44269127048 55336408810 110672817620 221345635240