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212414233500 = 223253719354911
BaseRepresentation
bin1100010111010011011…
…1111111101110011100
3202022021111212002101100
43011310313333232130
511440011020433000
6241325354113100
721226552123410
oct3056467775634
9668244762340
10212414233500
11820a232a607
123520111b790
1317052239a81
14a3d0b2ad40
1557d326aa00
hex3174dffb9c

212414233500 has 288 divisors, whose sum is σ = 806132920320. Its totient is φ = 45996336000.

The previous prime is 212414233411. The next prime is 212414233583. The reversal of 212414233500 is 5332414212.

212414233500 is a `hidden beast` number, since 2 + 12 + 4 + 142 + 3 + 3 + 500 = 666.

212414233500 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 421045 + ... + 775955.

It is an arithmetic number, because the mean of its divisors is an integer number (2799072640).

Almost surely, 2212414233500 is an apocalyptic number.

212414233500 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 212414233500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403066460160).

212414233500 is an abundant number, since it is smaller than the sum of its proper divisors (593718686820).

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

212414233500 is a wasteful number, since it uses less digits than its factorization.

212414233500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354962 (or 354947 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 212414233500 its reverse (5332414212), we get a palindrome (217746647712).

The spelling of 212414233500 in words is "two hundred twelve billion, four hundred fourteen million, two hundred thirty-three thousand, five hundred".