Search a number
-
+
2228828928864 = 25379293885671
BaseRepresentation
bin100000011011110000100…
…011100111101101100000
321220001222220211212020120
4200123300203213231200
5243004120201210424
64423524311040240
7320012313210246
oct40336043475540
97801886755216
102228828928864
1178a271908a2a
122bbb66370080
13132240442725
1479c3965a796
153ce9c356a79
hex206f08e7b60

2228828928864 has 48 divisors (see below), whose sum is σ = 5924735147520. Its totient is φ = 733538632320.

The previous prime is 2228828928847. The next prime is 2228828928871. The reversal of 2228828928864 is 4688298288222.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 146935252 + ... + 146950419.

It is an arithmetic number, because the mean of its divisors is an integer number (123431982240).

Almost surely, 22228828928864 is an apocalyptic number.

2228828928864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2228828928864 is an abundant number, since it is smaller than the sum of its proper divisors (3695906218656).

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

2228828928864 is a wasteful number, since it uses less digits than its factorization.

2228828928864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293885763 (or 293885755 counting only the distinct ones).

The product of its digits is 226492416, while the sum is 69.

The spelling of 2228828928864 in words is "two trillion, two hundred twenty-eight billion, eight hundred twenty-eight million, nine hundred twenty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 79 96 158 237 316 474 632 948 1264 1896 2528 3792 7584 293885671 587771342 881657013 1175542684 1763314026 2351085368 3526628052 4702170736 7053256104 9404341472 14106512208 23216968009 28213024416 46433936018 69650904027 92867872036 139301808054 185735744072 278603616108 371471488144 557207232216 742942976288 1114414464432 2228828928864