Search a number
-
+
212303221300 = 225237161335573
BaseRepresentation
bin1100010110111001000…
…0100001001000110100
3202021222202222002021101
43011232100201020310
511434244111040200
6241310350455444
721224033414602
oct3055620411064
9667882862241
10212303221300
11820456a7495
123518bb04584
131703523ba91
14a3c00b0872
1557c863d26a
hex316e421234

212303221300 has 72 divisors (see below), whose sum is σ = 473455931256. Its totient is φ = 82572572160.

The previous prime is 212303221253. The next prime is 212303221313. The reversal of 212303221300 is 3122303212.

It can be written as a sum of positive squares in 12 ways, for example, as 36730489104 + 175572732196 = 191652^2 + 419014^2 .

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, 5950314 + ... + 5985886.

It is an arithmetic number, because the mean of its divisors is an integer number (6575776823).

Almost surely, 2212303221300 is an apocalyptic number.

212303221300 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 212303221300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236727965628).

212303221300 is an abundant number, since it is smaller than the sum of its proper divisors (261152709956).

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

212303221300 is a wasteful number, since it uses less digits than its factorization.

212303221300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37237 (or 37230 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 212303221300 its reverse (3122303212), we get a palindrome (215425524512).

The spelling of 212303221300 in words is "two hundred twelve billion, three hundred three million, two hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 148 185 370 740 925 1613 1850 3226 3700 6452 8065 16130 32260 35573 40325 59681 71146 80650 119362 142292 161300 177865 238724 298405 355730 596810 711460 889325 1193620 1316201 1492025 1778650 2632402 2984050 3557300 5264804 5968100 6581005 13162010 26324020 32905025 57379249 65810050 114758498 131620100 229516996 286896245 573792490 1147584980 1434481225 2123032213 2868962450 4246064426 5737924900 8492128852 10615161065 21230322130 42460644260 53075805325 106151610650 212303221300