Search a number
-
+
221129331494724 = 223224784032
BaseRepresentation
bin110010010001110110101111…
…010000001100111101000100
31001222221202110022112122111100
4302101312233100030331010
5212440440332330312344
62102145225032540100
764402031655554022
oct6221665720147504
91058852408478440
10221129331494724
1164505471887504
1220974419851630
139650539080003
143c86a06a97712
151a8713499e569
hexc91daf40cf44

221129331494724 has 27 divisors (see below), whose sum is σ = 558966035701983. Its totient is φ = 73709747424072.

The previous prime is 221129331494693. The next prime is 221129331494767. The reversal of 221129331494724 is 427494133921122.

The square root of 221129331494724 is 14870418.

It is a perfect power (a square), and thus also a powerful number.

221129331494724 is a `hidden beast` number, since 2 + 2 + 1 + 1 + 29 + 3 + 3 + 149 + 472 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 87983307 + ... + 90461709.

Almost surely, 2221129331494724 is an apocalyptic number.

221129331494724 is the 14870418-th square number.

It is an amenable number.

221129331494724 is an abundant number, since it is smaller than the sum of its proper divisors (337836704207259).

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

221129331494724 is an frugal number, since it uses more digits than its factorization.

221129331494724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4956816 (or 2478408 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 221129331494724 in words is "two hundred twenty-one trillion, one hundred twenty-nine billion, three hundred thirty-one million, four hundred ninety-four thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 2478403 4956806 7435209 9913612 14870418 22305627 29740836 44611254 89222508 6142481430409 12284962860818 18427444291227 24569925721636 36854888582454 55282332873681 73709777164908 110564665747362 221129331494724