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212335220000 = 255413078123
BaseRepresentation
bin1100010111000000101…
…0100101010100100000
3202022002000011210020102
43011300022211110200
511434330304020000
6241313452401532
721224602406351
oct3056012452440
9668060153212
10212335220000
11820617725a2
123519a7762a8
131703ba63717
14a3c443dd28
1557cb35e3d5
hex31702a5520

212335220000 has 120 divisors (see below), whose sum is σ = 522840524976. Its totient is φ = 84858656000.

The previous prime is 212335219997. The next prime is 212335220107. The reversal of 212335220000 is 22533212.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 26135939 + ... + 26144061.

Almost surely, 2212335220000 is an apocalyptic number.

212335220000 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 212335220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261420262488).

212335220000 is an abundant number, since it is smaller than the sum of its proper divisors (310505304976).

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

212335220000 is an equidigital number, since it uses as much as digits as its factorization.

212335220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9460 (or 9437 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 212335220000 its reverse (22533212), we get a palindrome (212357753212).

The spelling of 212335220000 in words is "two hundred twelve billion, three hundred thirty-five million, two hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 1307 2000 2500 2614 4000 5000 5228 6535 8123 10000 10456 13070 16246 20000 20912 26140 32492 32675 40615 41824 52280 64984 65350 81230 104560 129968 130700 162460 163375 203075 209120 259936 261400 324920 326750 406150 522800 649840 653500 812300 816875 1015375 1045600 1299680 1307000 1624600 1633750 2030750 2614000 3249200 3267500 4061500 5076875 5228000 6498400 6535000 8123000 10153750 10616761 13070000 16246000 20307500 21233522 26140000 32492000 40615000 42467044 53083805 81230000 84934088 106167610 162460000 169868176 212335220 265419025 339736352 424670440 530838050 849340880 1061676100 1327095125 1698681760 2123352200 2654190250 4246704400 5308380500 6635475625 8493408800 10616761000 13270951250 21233522000 26541902500 42467044000 53083805000 106167610000 212335220000