Search a number
-
+
227506059240 = 233510142144587
BaseRepresentation
bin1101001111100001101…
…0101111011111101000
3210202020021210021022020
43103320122233133220
512211413022343430
6252303112224440
722302545411355
oct3237032573750
9722207707266
10227506059240
118853726a669
123811339b120
13185b8ac6a85
14b02321562c
155db816cb10
hex34f86af7e8

227506059240 has 128 divisors (see below), whose sum is σ = 690928513920. Its totient is φ = 59923584000.

The previous prime is 227506059233. The next prime is 227506059251. The reversal of 227506059240 is 42950605722.

It is a junction number, because it is equal to n+sod(n) for n = 227506059192 and 227506059201.

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 31 ways as a sum of consecutive naturals, for example, 5080227 + ... + 5124813.

It is an arithmetic number, because the mean of its divisors is an integer number (5397879015).

Almost surely, 2227506059240 is an apocalyptic number.

227506059240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 227506059240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345464256960).

227506059240 is an abundant number, since it is smaller than the sum of its proper divisors (463422454680).

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

227506059240 is a wasteful number, since it uses less digits than its factorization.

227506059240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45123 (or 45119 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 227506059240 in words is "two hundred twenty-seven billion, five hundred six million, fifty-nine thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 101 120 202 303 404 421 505 606 808 842 1010 1212 1263 1515 1684 2020 2105 2424 2526 3030 3368 4040 4210 5052 6060 6315 8420 10104 12120 12630 16840 25260 42521 44587 50520 85042 89174 127563 133761 170084 178348 212605 222935 255126 267522 340168 356696 425210 445870 510252 535044 637815 668805 850420 891740 1020504 1070088 1275630 1337610 1700840 1783480 2551260 2675220 4503287 5102520 5350440 9006574 13509861 18013148 18771127 22516435 27019722 36026296 37542254 45032870 54039444 56313381 67549305 75084508 90065740 93855635 108078888 112626762 135098610 150169016 180131480 187711270 225253524 270197220 281566905 375422540 450507048 540394440 563133810 750845080 1126267620 1895883827 2252535240 3791767654 5687651481 7583535308 9479419135 11375302962 15167070616 18958838270 22750605924 28438257405 37917676540 45501211848 56876514810 75835353080 113753029620 227506059240