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212202243000 = 2332531110392063
BaseRepresentation
bin1100010110100000111…
…1010100001110111000
3202021201201221212002100
43011220033110032320
511434042233234000
6241252342303400
721221366206326
oct3055017241670
9667651855070
10212202243000
1181aa36a7a50
1235162127b60
131701a344bc7
14a3b0906d16
1557be843a00
hex31683d43b8

212202243000 has 384 divisors, whose sum is σ = 783580262400. Its totient is φ = 51368544000.

The previous prime is 212202242999. The next prime is 212202243037. The reversal of 212202243000 is 342202212.

212202243000 is a `hidden beast` number, since 212 + 2 + 0 + 22 + 430 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 102859969 + ... + 102862031.

It is an arithmetic number, because the mean of its divisors is an integer number (2040573600).

Almost surely, 2212202243000 is an apocalyptic number.

212202243000 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 212202243000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391790131200).

212202243000 is an abundant number, since it is smaller than the sum of its proper divisors (571378019400).

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

212202243000 is a wasteful number, since it uses less digits than its factorization.

212202243000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3140 (or 3123 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 212202243000 its reverse (342202212), we get a palindrome (212544445212).

The spelling of 212202243000 in words is "two hundred twelve billion, two hundred two million, two hundred forty-three thousand".