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212200000000 = 29581061
BaseRepresentation
bin1100010110100000011…
…0110000101000000000
3202021201120201220021021
43011220012300220000
511434041200000000
6241252222235224
721221341145062
oct3055006605000
9667646656237
10212200000000
1181aa240582a
1235161425b14
1317019a3aca1
14a3b04c1732
1557be54e11a
hex31681b0a00

212200000000 has 180 divisors, whose sum is σ = 530481173706. Its totient is φ = 84800000000.

The previous prime is 212199999989. The next prime is 212200000013. The reversal of 212200000000 is 2212.

It is a happy number.

It can be written as a sum of positive squares in 9 ways, for example, as 210321297664 + 1878702336 = 458608^2 + 43344^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 199999470 + ... + 200000530.

Almost surely, 2212200000000 is an apocalyptic number.

212200000000 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 212200000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265240586853).

212200000000 is an abundant number, since it is smaller than the sum of its proper divisors (318281173706).

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

212200000000 is an frugal number, since it uses more digits than its factorization.

212200000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1119 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

Adding to 212200000000 its reverse (2212), we get a palindrome (212200002212).

The spelling of 212200000000 in words is "two hundred twelve billion, two hundred million", and thus it is an aban number.