Search a number
-
+
2228780729904 = 243661127755009
BaseRepresentation
bin100000011011101101101…
…011110000011000110000
321220001212120011002200220
4200123231223300120300
5243004020331324104
64423515430013040
7320011156423431
oct40335553603060
97801776132626
102228780729904
1178a247688383
122bbb521a7180
13132233468031
1479c330b1488
153ce97ed57d9
hex206edaf0630

2228780729904 has 80 divisors (see below), whose sum is σ = 5771014604640. Its totient is φ = 741208596480.

The previous prime is 2228780729891. The next prime is 2228780729921. The reversal of 2228780729904 is 4099270878222.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

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 15 ways as a sum of consecutive naturals, for example, 40489152 + ... + 40544160.

It is an arithmetic number, because the mean of its divisors is an integer number (72137682558).

Almost surely, 22228780729904 is an apocalyptic number.

2228780729904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2228780729904 is an abundant number, since it is smaller than the sum of its proper divisors (3542233874736).

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

2228780729904 is a wasteful number, since it uses less digits than its factorization.

2228780729904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56958 (or 56952 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 60.

The spelling of 2228780729904 in words is "two trillion, two hundred twenty-eight billion, seven hundred eighty million, seven hundred twenty-nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 661 1277 1322 1983 2554 2644 3831 3966 5108 5288 7662 7932 10216 10576 15324 15864 20432 30648 31728 55009 61296 110018 165027 220036 330054 440072 660108 844097 880144 1320216 1688194 2532291 2640432 3376388 5064582 6752776 10129164 13505552 20258328 36360949 40516656 70246493 72721898 109082847 140492986 145443796 210739479 218165694 280985972 290887592 421478958 436331388 561971944 581775184 842957916 872662776 1123943888 1685915832 1745325552 3371831664 46432931873 92865863746 139298795619 185731727492 278597591238 371463454984 557195182476 742926909968 1114390364952 2228780729904