Search a number
-
+
224040216750 = 23537157271811
BaseRepresentation
bin1101000010100111010…
…1100110100010101110
3210102021202012020012120
43100221311212202232
512132313243414000
6250531143213410
722120632264330
oct3205165464256
9712252166176
10224040216750
1187018952929
1237506747266
1318185a598bc
14abb4bc9450
155c63c5b6a0
hex3429d668ae

224040216750 has 128 divisors (see below), whose sum is σ = 643163728896. Its totient is φ = 50882832000.

The previous prime is 224040216749. The next prime is 224040216761. The reversal of 224040216750 is 57612040422.

224040216750 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 63 ways as a sum of consecutive naturals, for example, 688345 + ... + 960155.

It is an arithmetic number, because the mean of its divisors is an integer number (5024716632).

Almost surely, 2224040216750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224040216750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321581864448).

224040216750 is an abundant number, since it is smaller than the sum of its proper divisors (419123512146).

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

224040216750 is a wasteful number, since it uses less digits than its factorization.

224040216750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271995 (or 271985 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The spelling of 224040216750 in words is "two hundred twenty-four billion, forty million, two hundred sixteen thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 125 150 157 175 210 250 314 350 375 471 525 750 785 875 942 1050 1099 1570 1750 2198 2355 2625 3297 3925 4710 5250 5495 6594 7850 10990 11775 16485 19625 23550 27475 32970 39250 54950 58875 82425 117750 137375 164850 271811 274750 412125 543622 815433 824250 1359055 1630866 1902677 2718110 3805354 4077165 5708031 6795275 8154330 9513385 11416062 13590550 19026770 20385825 28540155 33976375 40771650 42674327 47566925 57080310 67952750 85348654 95133850 101929125 128022981 142700775 203858250 213371635 237834625 256045962 285401550 298720289 426743270 475669250 597440578 640114905 713503875 896160867 1066858175 1280229810 1427007750 1493601445 1792321734 2133716350 2987202890 3200574525 4480804335 5334290875 6401149050 7468007225 8961608670 10668581750 14936014450 16002872625 22404021675 32005745250 37340036125 44808043350 74680072250 112020108375 224040216750