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221350224401 = 4137314473957
BaseRepresentation
bin1100111000100110000…
…0000110001000010001
3210011100021111110102022
43032021200012020101
512111311124140101
6245404211301225
721664156602125
oct3161140061021
9704307443368
10221350224401
1185968481859
1236a958aa815
1317b47668357
14a9db83d585
155b57a01a1b
hex3389806211

221350224401 has 8 divisors (see below), whose sum is σ = 227356932264. Its totient is φ = 215372465280.

The previous prime is 221350224367. The next prime is 221350224439. The reversal of 221350224401 is 104422053122.

It can be written as a sum of positive squares in 4 ways, for example, as 22656270400 + 198693954001 = 150520^2 + 445751^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 221350224401 - 214 = 221350208017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (221350224461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7221686 + ... + 7252271.

It is an arithmetic number, because the mean of its divisors is an integer number (28419616533).

Almost surely, 2221350224401 is an apocalyptic number.

It is an amenable number.

221350224401 is a deficient number, since it is larger than the sum of its proper divisors (6006707863).

221350224401 is a wasteful number, since it uses less digits than its factorization.

221350224401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14474371.

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 221350224401 its reverse (104422053122), we get a palindrome (325772277523).

The spelling of 221350224401 in words is "two hundred twenty-one billion, three hundred fifty million, two hundred twenty-four thousand, four hundred one".

Divisors: 1 41 373 15293 14473957 593432237 5398785961 221350224401