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212022011200 = 2652278947513
BaseRepresentation
bin1100010101110101111…
…1110010010101000000
3202021021011211010112111
43011131133302111000
511433210113324300
6241222423305104
721214050234226
oct3053537622500
9667234733474
10212022011200
1181a1099714a
12351118ab194
1316cbbbbc67c
14a3949ccb16
1557adae19ba
hex315d7f2540

212022011200 has 84 divisors (see below), whose sum is σ = 521904704220. Its totient is φ = 84776611840.

The previous prime is 212022011191. The next prime is 212022011213. The reversal of 212022011200 is 2110220212.

It is a happy number.

212022011200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 10449746176 + 201572265024 = 102224^2 + 448968^2 .

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 11 ways as a sum of consecutive naturals, for example, 4438644 + ... + 4486156.

Almost surely, 2212022011200 is an apocalyptic number.

212022011200 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 212022011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260952352110).

212022011200 is an abundant number, since it is smaller than the sum of its proper divisors (309882693020).

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

212022011200 is a wasteful number, since it uses less digits than its factorization.

212022011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50324 (or 50309 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 212022011200 its reverse (2110220212), we get a palindrome (214132231412).

The spelling of 212022011200 in words is "two hundred twelve billion, twenty-two million, eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 2789 5578 11156 13945 22312 27890 44624 47513 55780 69725 89248 95026 111560 139450 178496 190052 223120 237565 278900 380104 446240 475130 557800 760208 892480 950260 1115600 1187825 1520416 1900520 2231200 2375650 3040832 3801040 4462400 4751300 7602080 9502600 15204160 19005200 38010400 76020800 132513757 265027514 530055028 662568785 1060110056 1325137570 2120220112 2650275140 3312843925 4240440224 5300550280 6625687850 8480880448 10601100560 13251375700 21202201120 26502751400 42404402240 53005502800 106011005600 212022011200