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2220404014241 = 72335991142169
BaseRepresentation
bin100000010011111010011…
…001000111110010100001
321212021020202212212001122
4200103322121013302201
5242334341411423431
64420012311542025
7316263452500040
oct40237231076241
97767222785048
102220404014241
117867391a8976
122ba3b498a915
131314c9b7694a
147967a784557
153cb578c5a7b
hex204fa647ca1

2220404014241 has 32 divisors (see below), whose sum is σ = 2658288844800. Its totient is φ = 1813348817280.

The previous prime is 2220404014217. The next prime is 2220404014253. The reversal of 2220404014241 is 1424104040222.

It is a happy number.

It is not a de Polignac number, because 2220404014241 - 26 = 2220404014177 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2220404014241.

It is not an unprimeable number, because it can be changed into a prime (2220404014291) 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 31 ways as a sum of consecutive naturals, for example, 52633805 + ... + 52675973.

It is an arithmetic number, because the mean of its divisors is an integer number (83071526400).

Almost surely, 22220404014241 is an apocalyptic number.

It is an amenable number.

2220404014241 is a deficient number, since it is larger than the sum of its proper divisors (437884830559).

2220404014241 is a wasteful number, since it uses less digits than its factorization.

2220404014241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43469.

The product of its (nonzero) digits is 4096, while the sum is 26.

Adding to 2220404014241 its reverse (1424104040222), we get a palindrome (3644508054463).

The spelling of 2220404014241 in words is "two trillion, two hundred twenty billion, four hundred four million, fourteen thousand, two hundred forty-one".

Divisors: 1 7 23 161 359 911 2513 6377 8257 20953 42169 57799 146671 295183 327049 969887 2289343 6789209 7522127 15138671 38415959 52654889 105970697 268911713 348189433 883567057 2437326031 6184969399 13791329281 96539304967 317200573463 2220404014241