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212220000300 = 22352711219113389
BaseRepresentation
bin1100010110100101001…
…1000011100000101100
3202021202222101000112010
43011221103003200230
511434111310002200
6241254215041220
721222003145020
oct3055123034054
9667688330463
10212220000300
1182002726300
1235168070210
1317020c21599
14a3b300a380
1557c11a0150
hex31694c382c

212220000300 has 864 divisors, whose sum is σ = 821222438400. Its totient is φ = 41300582400.

The previous prime is 212220000287. The next prime is 212220000331. The reversal of 212220000300 is 3000022212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 545552506 + ... + 545552894.

Almost surely, 2212220000300 is an apocalyptic number.

212220000300 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 212220000300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410611219200).

212220000300 is an abundant number, since it is smaller than the sum of its proper divisors (609002438100).

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

212220000300 is a wasteful number, since it uses less digits than its factorization.

212220000300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 212220000300 its reverse (3000022212), we get a palindrome (215220022512).

The spelling of 212220000300 in words is "two hundred twelve billion, two hundred twenty million, three hundred", and thus it is an aban number.