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212213012320 = 25529153129873
BaseRepresentation
bin1100010110100011100…
…0011001011101100000
3202021202111012222211001
43011220320121131200
511434103012343240
6241253405201344
721221556561631
oct3055070313540
9667674188731
10212213012320
1181aa9793111
1235165860254
131701c64599a
14a3b210b888
1557c076e89a
hex3168e19760

212213012320 has 96 divisors (see below), whose sum is σ = 518997417120. Its totient is φ = 81901854720.

The previous prime is 212213012311. The next prime is 212213012351. The reversal of 212213012320 is 23210312212.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7088904 + ... + 7118776.

It is an arithmetic number, because the mean of its divisors is an integer number (5406223095).

Almost surely, 2212213012320 is an apocalyptic number.

212213012320 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 212213012320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259498708560).

212213012320 is an abundant number, since it is smaller than the sum of its proper divisors (306784404800).

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

212213012320 is a wasteful number, since it uses less digits than its factorization.

212213012320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31448 (or 31440 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 212213012320 its reverse (23210312212), we get a palindrome (235423324532).

The spelling of 212213012320 in words is "two hundred twelve billion, two hundred thirteen million, twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 232 290 464 580 928 1160 1531 2320 3062 4640 6124 7655 12248 15310 24496 29873 30620 44399 48992 59746 61240 88798 119492 122480 149365 177596 221995 238984 244960 298730 355192 443990 477968 597460 710384 866317 887980 955936 1194920 1420768 1732634 1775960 2389840 3465268 3551920 4331585 4779680 6930536 7103840 8663170 13861072 17326340 27722144 34652680 45735563 69305360 91471126 138610720 182942252 228677815 365884504 457355630 731769008 914711260 1326331327 1463538016 1829422520 2652662654 3658845040 5305325308 6631656635 7317690080 10610650616 13263313270 21221301232 26526626540 42442602464 53053253080 106106506160 212213012320