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221414265321157 = 5323323777543009
BaseRepresentation
bin110010010110000000000110…
…101000011111011011000101
31002000221222220211210202111001
4302112000012220133123011
5213010122403410234112
62102524150445413301
764431436621251166
oct6226000650373305
91060858824722431
10221414265321157
1164605298574597
12209bb69956a231
1396713777338cc
143c96716cab76d
151a8e75e626c57
hexc96006a1f6c5

221414265321157 has 16 divisors (see below), whose sum is σ = 226655442028080. Its totient is φ = 216213264064512.

The previous prime is 221414265321149. The next prime is 221414265321169. The reversal of 221414265321157 is 751123562414122.

It can be written as a sum of positive squares in 8 ways, for example, as 2734230909601 + 218680034411556 = 1653551^2 + 14787834^2 .

It is a cyclic number.

It is not a de Polignac number, because 221414265321157 - 23 = 221414265321149 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221414265331157) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25582069 + ... + 33125077.

It is an arithmetic number, because the mean of its divisors is an integer number (14165965126755).

Almost surely, 2221414265321157 is an apocalyptic number.

It is an amenable number.

221414265321157 is a deficient number, since it is larger than the sum of its proper divisors (5241176706923).

221414265321157 is a wasteful number, since it uses less digits than its factorization.

221414265321157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7545672.

The product of its digits is 806400, while the sum is 46.

The spelling of 221414265321157 in words is "two hundred twenty-one trillion, four hundred fourteen billion, two hundred sixty-five million, three hundred twenty-one thousand, one hundred fifty-seven".

Divisors: 1 53 233 2377 12349 125981 553841 7543009 29353573 399779477 1757521097 17929732393 93148618141 950275816829 4177627647569 221414265321157