Search a number
-
+
227414935360089 = 365585292
BaseRepresentation
bin110011101101010100101010…
…011100000101001001011001
31002211012122200212010211000000
4303231110222130011021121
5214301431241423010324
62123400551250003213
765621121046066551
oct6355245234051131
91084178625124000
10227414935360089
1166509150352124
122160a655876509
1399b81a0842739
144022d27a76161
151b458b73149c9
hexced52a705259

227414935360089 has 21 divisors (see below), whose sum is σ = 340967036191503. Its totient is φ = 151609685461632.

The previous prime is 227414935360051. The next prime is 227414935360091. The reversal of 227414935360089 is 980063539414722.

The square root of 227414935360089 is 15080283.

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

227414935360089 is a `hidden beast` number, since 2 + 2 + 7 + 4 + 1 + 4 + 93 + 536 + 0 + 0 + 8 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 138275656710489 + 89139278649600 = 11759067^2 + 9441360^2 .

It is not a de Polignac number, because 227414935360089 - 225 = 227414901805657 is a prime.

It is a super-3 number, since 3×2274149353600893 (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (227414935360489) 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 20 ways as a sum of consecutive naturals, for example, 406888377 + ... + 407446905.

It is a 1-persistent number, because it is pandigital, but 2⋅227414935360089 = 454829870720178 is not.

Almost surely, 2227414935360089 is an apocalyptic number.

227414935360089 is the 15080283-rd square number.

227414935360089 is the 7540142-nd centered octagonal number.

It is an amenable number.

227414935360089 is a deficient number, since it is larger than the sum of its proper divisors (113552100831414).

227414935360089 is an frugal number, since it uses more digits than its factorization.

227414935360089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1117076 (or 558532 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 227414935360089 in words is "two hundred twenty-seven trillion, four hundred fourteen billion, nine hundred thirty-five million, three hundred sixty thousand, eighty-nine".

Divisors: 1 3 9 27 81 243 729 558529 1675587 5026761 15080283 45240849 135722547 407167641 311954643841 935863931523 2807591794569 8422775383707 25268326151121 75804978453363 227414935360089