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212210000000 = 275721221
BaseRepresentation
bin1100010110100010110…
…0111010000010000000
3202021202021112221200122
43011220230322002000
511434101230000000
6241253220435412
721221522144435
oct3055054720200
9667667487618
10212210000000
1181aa8015999
1235164848b68
131701bb2c84b
14a3b1965b8c
1557c0377085
hex3168b3a080

212210000000 has 128 divisors (see below), whose sum is σ = 528476186160. Its totient is φ = 84880000000.

The previous prime is 212209999993. The next prime is 212210000029. The reversal of 212210000000 is 12212.

It can be written as a sum of positive squares in 8 ways, for example, as 147462144064 + 64747855936 = 384008^2 + 254456^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9989390 + ... + 10010610.

Almost surely, 2212210000000 is an apocalyptic number.

212210000000 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 212210000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264238093080).

212210000000 is an abundant number, since it is smaller than the sum of its proper divisors (316266186160).

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

212210000000 is an frugal number, since it uses more digits than its factorization.

212210000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21270 (or 21228 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 212210000000 its reverse (12212), we get a palindrome (212210012212).

The spelling of 212210000000 in words is "two hundred twelve billion, two hundred ten million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3125 3200 4000 5000 6250 8000 10000 12500 15625 16000 20000 21221 25000 31250 40000 42442 50000 62500 78125 80000 84884 100000 106105 125000 156250 169768 200000 212210 250000 312500 339536 400000 424420 500000 530525 625000 679072 848840 1000000 1061050 1250000 1358144 1697680 2000000 2122100 2500000 2652625 2716288 3395360 4244200 5000000 5305250 6790720 8488400 10000000 10610500 13263125 13581440 16976800 21221000 26526250 33953600 42442000 53052500 66315625 67907200 84884000 106105000 132631250 169768000 212210000 265262500 331578125 339536000 424420000 530525000 663156250 848840000 1061050000 1326312500 1657890625 1697680000 2122100000 2652625000 3315781250 4244200000 5305250000 6631562500 8488400000 10610500000 13263125000 21221000000 26526250000 42442000000 53052500000 106105000000 212210000000