Search a number
-
+
224730101467601 = 8311038992452753
BaseRepresentation
bin110011000110010000001101…
…110111100100100111010001
31002110200222200011111122122122
4303012100031313210213101
5213423434221433430401
62113543330001544025
765223133261412042
oct6306201567444721
91073628604448578
10224730101467601
11656735566387a4
1221256248345015
139851c5ac08b62
143d6cdd01c48c9
151aeab2b95621b
hexcc640dde49d1

224730101467601 has 8 divisors (see below), whose sum is σ = 227437991810400. Its totient is φ = 222022218238272.

The previous prime is 224730101467577. The next prime is 224730101467609. The reversal of 224730101467601 is 106764101037422.

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 224730101467601 - 238 = 224455223560657 is a prime.

It is a super-2 number, since 2×2247301014676012 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (224730101467609) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 90397241 + ... + 92849993.

It is an arithmetic number, because the mean of its divisors is an integer number (28429748976300).

Almost surely, 2224730101467601 is an apocalyptic number.

It is an amenable number.

224730101467601 is a deficient number, since it is larger than the sum of its proper divisors (2707890342799).

224730101467601 is a wasteful number, since it uses less digits than its factorization.

224730101467601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3556735.

The product of its (nonzero) digits is 338688, while the sum is 44.

The spelling of 224730101467601 in words is "two hundred twenty-four trillion, seven hundred thirty billion, one hundred one million, four hundred sixty-seven thousand, six hundred one".

Divisors: 1 83 1103899 2452753 91623617 203578499 2707591583947 224730101467601