Search a number
-
+
199424300000 = 25552968767
BaseRepresentation
bin1011100110111010011…
…1010101001111100000
3201001202020000002120012
42321232213111033200
511231410110100000
6231340402504052
720256630403232
oct2715647251740
9631666002505
10199424300000
1177636900282
1232796965028
1315a61c80ca3
14991b862252
1552c2b56735
hex2e6e9d53e0

199424300000 has 144 divisors (see below), whose sum is σ = 507668757120. Its totient is φ = 77017920000.

The previous prime is 199424299993. The next prime is 199424300027. The reversal of 199424300000 is 3424991.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 199424300000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2865617 + ... + 2934383.

It is an arithmetic number, because the mean of its divisors is an integer number (3525477480).

Almost surely, 2199424300000 is an apocalyptic number.

199424300000 is a gapful number since it is divisible by the number (10) 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 199424300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253834378560).

199424300000 is an abundant number, since it is smaller than the sum of its proper divisors (308244457120).

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

199424300000 is an frugal number, since it uses more digits than its factorization.

199424300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68831 (or 68803 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

Adding to 199424300000 its reverse (3424991), we get a palindrome (199427724991).

The spelling of 199424300000 in words is "one hundred ninety-nine billion, four hundred twenty-four million, three hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 80 100 116 125 145 160 200 232 250 290 400 464 500 580 625 725 800 928 1000 1160 1250 1450 2000 2320 2500 2900 3125 3625 4000 4640 5000 5800 6250 7250 10000 11600 12500 14500 18125 20000 23200 25000 29000 36250 50000 58000 68767 72500 90625 100000 116000 137534 145000 181250 275068 290000 343835 362500 550136 580000 687670 725000 1100272 1375340 1450000 1719175 1994243 2200544 2750680 2900000 3438350 3988486 5501360 6876700 7976972 8595875 9971215 11002720 13753400 15953944 17191750 19942430 27506800 31907888 34383500 39884860 42979375 49856075 55013600 63815776 68767000 79769720 85958750 99712150 137534000 159539440 171917500 199424300 214896875 249280375 275068000 319078880 343835000 398848600 429793750 498560750 687670000 797697200 859587500 997121500 1246401875 1375340000 1595394400 1719175000 1994243000 2492803750 3438350000 3988486000 4985607500 6232009375 6876700000 7976972000 9971215000 12464018750 19942430000 24928037500 39884860000 49856075000 99712150000 199424300000