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212244212320 = 2557189503761
BaseRepresentation
bin1100010110101010111…
…1011010101001100000
3202021211122221010011121
43011222233122221200
511434134004243240
6241300442022024
721222416016010
oct3055257325140
9667748833147
10212244212320
1182015363138
12351741a7914
1317025c4ac1a
14a3b630dc40
1557c338404a
hex316abdaa60

212244212320 has 48 divisors (see below), whose sum is σ = 573059376288. Its totient is φ = 72769443840.

The previous prime is 212244212293. The next prime is 212244212333. The reversal of 212244212320 is 23212442212.

212244212320 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 7 ways as a sum of consecutive naturals, for example, 94750761 + ... + 94753000.

It is an arithmetic number, because the mean of its divisors is an integer number (11938737006).

Almost surely, 2212244212320 is an apocalyptic number.

212244212320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212244212320 is an abundant number, since it is smaller than the sum of its proper divisors (360815163968).

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

212244212320 is a wasteful number, since it uses less digits than its factorization.

212244212320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189503783 (or 189503775 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 212244212320 its reverse (23212442212), we get a palindrome (235456654532).

The spelling of 212244212320 in words is "two hundred twelve billion, two hundred forty-four million, two hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 189503761 379007522 758015044 947518805 1326526327 1516030088 1895037610 2653052654 3032060176 3790075220 5306105308 6064120352 6632631635 7580150440 10612210616 13265263270 15160300880 21224421232 26530526540 30320601760 42448842464 53061053080 106122106160 212244212320