Search a number
-
+
221253350000 = 245512833449
BaseRepresentation
bin1100111000001110111…
…0100011001001110000
3210011002112012201201112
43032003232203021300
512111111324200000
6245350431052452
721661602305354
oct3160356431160
9704075181645
10221253350000
1185918825671
1236a69371128
1317b3057a417
14a9cca23464
155b4e268235
hex3383ba3270

221253350000 has 120 divisors (see below), whose sum is σ = 536386762800. Its totient is φ = 88406720000.

The previous prime is 221253349991. The next prime is 221253350023. The reversal of 221253350000 is 53352122.

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, 64148276 + ... + 64151724.

It is an arithmetic number, because the mean of its divisors is an integer number (4469889690).

Almost surely, 2221253350000 is an apocalyptic number.

221253350000 is a gapful number since it is divisible by the number (20) 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 221253350000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268193381400).

221253350000 is an abundant number, since it is smaller than the sum of its proper divisors (315133412800).

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

221253350000 is an equidigital number, since it uses as much as digits as its factorization.

221253350000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4765 (or 4739 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The spelling of 221253350000 in words is "two hundred twenty-one billion, two hundred fifty-three million, three hundred fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 1283 2000 2500 2566 3125 3449 5000 5132 6250 6415 6898 10000 10264 12500 12830 13796 17245 20528 25000 25660 27592 32075 34490 50000 51320 55184 64150 68980 86225 102640 128300 137960 160375 172450 256600 275920 320750 344900 431125 513200 641500 689800 801875 862250 1283000 1379600 1603750 1724500 2155625 2566000 3207500 3449000 4009375 4311250 4425067 6415000 6898000 8018750 8622500 8850134 10778125 12830000 16037500 17245000 17700268 21556250 22125335 32075000 34490000 35400536 43112500 44250670 64150000 70801072 86225000 88501340 110626675 172450000 177002680 221253350 354005360 442506700 553133375 885013400 1106266750 1770026800 2212533500 2765666875 4425067000 5531333750 8850134000 11062667500 13828334375 22125335000 27656668750 44250670000 55313337500 110626675000 221253350000