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212010023200 = 2552997326573
BaseRepresentation
bin1100010101110011001…
…0000011100100100000
3202021020100021002002111
43011130302003210200
511433144031220300
6241221314325104
721213543314623
oct3053462034440
9667210232074
10212010023200
1181a05149408
1235109889794
1316cb9582c91
14a39318bdba
1557aca249ba
hex315cc83920

212010023200 has 72 divisors (see below), whose sum is σ = 517640845428. Its totient is φ = 84792314880.

The previous prime is 212010023177. The next prime is 212010023209. The reversal of 212010023200 is 2320010212.

It can be written as a sum of positive squares in 6 ways, for example, as 111046231696 + 100963791504 = 333236^2 + 317748^2 .

It is not an unprimeable number, because it can be changed into a prime (212010023209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7965114 + ... + 7991686.

Almost surely, 2212010023200 is an apocalyptic number.

212010023200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212010023200 is an abundant number, since it is smaller than the sum of its proper divisors (305630822228).

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

212010023200 is a wasteful number, since it uses less digits than its factorization.

212010023200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36566 (or 36553 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 212010023200 its reverse (2320010212), we get a palindrome (214330033412).

The spelling of 212010023200 in words is "two hundred twelve billion, ten million, twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 9973 19946 26573 39892 49865 53146 79784 99730 106292 132865 159568 199460 212584 249325 265730 319136 398920 425168 498650 531460 664325 797840 850336 997300 1062920 1328650 1595680 1994600 2125840 2657300 3989200 4251680 5314600 7978400 10629200 21258400 265012529 530025058 1060050116 1325062645 2120100232 2650125290 4240200464 5300250580 6625313225 8480400928 10600501160 13250626450 21201002320 26501252900 42402004640 53002505800 106005011600 212010023200