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221414106524046 = 231072709112730493
BaseRepresentation
bin110010010101111111111101…
…001010101110100110001110
31002000221222111210000000210120
4302111333331022232212032
5213010122042232232141
62102524123014045410
764431432652431642
oct6225777512564616
91060858453000716
10221414106524046
1164605216973a07
12209bb654349866
139671350874817
143c966ddb72c22
151a8e75070ac66
hexc95ffd2ae98e

221414106524046 has 32 divisors (see below), whose sum is σ = 446983328308608. Its totient is φ = 73112233995360.

The previous prime is 221414106524033. The next prime is 221414106524167. The reversal of 221414106524046 is 640425601414122.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 221414106523989 and 221414106524007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11027176 + ... + 23757668.

It is an arithmetic number, because the mean of its divisors is an integer number (13968229009644).

Almost surely, 2221414106524046 is an apocalyptic number.

221414106524046 is an abundant number, since it is smaller than the sum of its proper divisors (225569221784562).

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

221414106524046 is a wasteful number, since it uses less digits than its factorization.

221414106524046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12757696.

The product of its (nonzero) digits is 368640, while the sum is 42.

Adding to 221414106524046 its reverse (640425601414122), we get a palindrome (861839707938168).

The spelling of 221414106524046 in words is "two hundred twenty-one trillion, four hundred fourteen billion, one hundred six million, five hundred twenty-four thousand, forty-six".

Divisors: 1 2 3 6 107 214 321 642 27091 54182 81273 162546 2898737 5797474 8696211 12730493 17392422 25460986 38191479 76382958 1362162751 2724325502 4086488253 8172976506 344881785863 689763571726 1034645357589 2069290715178 36902351087341 73804702174682 110707053262023 221414106524046