Search a number
-
+
2239419643300 = 2252724111146937
BaseRepresentation
bin100000100101100111110…
…011111111010110100100
321221002100000010220020101
4200211213303333112210
5243142312412041200
64432435234513444
7320535622615600
oct40454763772644
97832300126211
102239419643300
11793807009494
12302021135884
1313323a627168
147a56202a500
153d3bbeeb26a
hex20967cff5a4

2239419643300 has 108 divisors (see below), whose sum is σ = 5790811997124. Its totient is φ = 749074099200.

The previous prime is 2239419643289. The next prime is 2239419643427. The reversal of 2239419643300 is 33469149322.

It can be written as a sum of positive squares in 6 ways, for example, as 701278955776 + 1538140687524 = 837424^2 + 1240218^2 .

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 35 ways as a sum of consecutive naturals, for example, 5372569 + ... + 5774368.

It is an arithmetic number, because the mean of its divisors is an integer number (53618629603).

Almost surely, 22239419643300 is an apocalyptic number.

2239419643300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2239419643300 is an abundant number, since it is smaller than the sum of its proper divisors (3551392353824).

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

2239419643300 is a wasteful number, since it uses less digits than its factorization.

2239419643300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11147006 (or 11146992 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 46.

The spelling of 2239419643300 in words is "two trillion, two hundred thirty-nine billion, four hundred nineteen million, six hundred forty-three thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 41 49 50 70 82 98 100 140 164 175 196 205 245 287 350 410 490 574 700 820 980 1025 1148 1225 1435 2009 2050 2450 2870 4018 4100 4900 5740 7175 8036 10045 14350 20090 28700 40180 50225 100450 200900 11146937 22293874 44587748 55734685 78028559 111469370 156057118 222938740 278673425 312114236 390142795 457024417 546199913 557346850 780285590 914048834 1092399826 1114693700 1560571180 1828097668 1950713975 2184799652 2285122085 2730999565 3199170919 3901427950 4570244170 5461999130 6398341838 7802855900 9140488340 10923998260 11425610425 12796683676 13654997825 15995854595 22394196433 22851220850 27309995650 31991709190 44788392866 45702441700 54619991300 63983418380 79979272975 89576785732 111970982165 159958545950 223941964330 319917091900 447883928660 559854910825 1119709821650 2239419643300