Search a number
-
+
229171668048 = 243229522710499
BaseRepresentation
bin1101010101101110110…
…0100010010001010000
3210220112100220222001100
43111123230202101100
512223320421334143
6253140252104400
722362042015621
oct3253354422120
9726470828040
10229171668048
1189211483174
12384b9165100
13187c2bc170b
14b140507a48
155e644cb6d3
hex355bb22450

229171668048 has 120 divisors (see below), whose sum is σ = 663668460000. Its totient is φ = 73735264512.

The previous prime is 229171668013. The next prime is 229171668049. The reversal of 229171668048 is 840866171922.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 229171667985 and 229171668003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229171668049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21822703 + ... + 21833201.

It is an arithmetic number, because the mean of its divisors is an integer number (5530570500).

Almost surely, 2229171668048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229171668048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331834230000).

229171668048 is an abundant number, since it is smaller than the sum of its proper divisors (434496791952).

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

229171668048 is a wasteful number, since it uses less digits than its factorization.

229171668048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15769 (or 15760 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 229171668048 in words is "two hundred twenty-nine billion, one hundred seventy-one million, six hundred sixty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1044 1392 2088 4176 5227 10454 10499 15681 20908 20998 31362 31497 41816 41996 47043 62724 62994 83632 83992 94086 94491 125448 125988 151583 167984 188172 188982 250896 251976 303166 304471 376344 377964 454749 503952 606332 608942 752688 755928 909498 913413 1212664 1217884 1364247 1511856 1818996 1826826 2425328 2435768 2728494 2740239 3637992 3653652 4871536 5456988 5480478 7275984 7307304 10913976 10960956 14614608 21827952 21921912 43843824 54878273 109756546 164634819 219513092 329269638 439026184 493904457 658539276 878052368 987808914 1317078552 1591469917 1975617828 2634157104 3182939834 3951235656 4774409751 6365879668 7902471312 9548819502 12731759336 14323229253 19097639004 25463518672 28646458506 38195278008 57292917012 76390556016 114585834024 229171668048