Search a number
-
+
228362041173644 = 22741599755943933
BaseRepresentation
bin110011111011000110101110…
…010110000010011010001100
31002221120012100021211011102122
4303323012232112002122030
5214412440430020024034
62125404023510312112
766046420156504520
oct6373065626023214
91087505307734378
10228362041173644
1166843885946944
1221742115658638
139a565a95849b1
144056ad324bd80
151b6034a09462e
hexcfb1ae58268c

228362041173644 has 96 divisors (see below), whose sum is σ = 468717435648000. Its totient is φ = 95308203594240.

The previous prime is 228362041173569. The next prime is 228362041173649. The reversal of 228362041173644 is 446371140263822.

228362041173644 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (228362041173649) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5197939502 + ... + 5197983434.

It is an arithmetic number, because the mean of its divisors is an integer number (4882473288000).

Almost surely, 2228362041173644 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 228362041173644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234358717824000).

228362041173644 is an abundant number, since it is smaller than the sum of its proper divisors (240355394474356).

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

228362041173644 is a wasteful number, since it uses less digits than its factorization.

228362041173644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52143 (or 52141 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 53.

The spelling of 228362041173644 in words is "two hundred twenty-eight trillion, three hundred sixty-two billion, forty-one million, one hundred seventy-three thousand, six hundred forty-four".

Divisors: 1 2 4 7 14 28 41 82 164 287 574 599 1148 1198 2396 4193 7559 8386 15118 16772 24559 30236 43933 49118 52913 87866 98236 105826 171913 175732 211652 307531 309919 343826 615062 619838 687652 1230124 1239676 1801253 2169433 3602506 4338866 4527841 7205012 8677732 9055682 12608771 18111364 25217542 26315867 31694887 50435084 52631734 63389774 105263468 126779548 184211069 185641481 332089547 368422138 371282962 664179094 736844276 742565924 1078950547 1299490367 1328358188 2157901094 2324626829 2598980734 4315802188 4649253658 5197961468 7552653829 9298507316 13615671427 15105307658 27231342854 30210615316 54462685708 95309699989 190619399978 198921638653 381238799956 397843277306 795686554612 1392451470571 2784902941142 5569805882284 8155787184773 16311574369546 32623148739092 57090510293411 114181020586822 228362041173644