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212250152400 = 2435211132634703
BaseRepresentation
bin1100010110101100011…
…0000100110111010000
3202021212002002220102120
43011223012010313100
511434142014334100
6241301213214240
721222520346016
oct3055306046720
9667762086376
10212250152400
118201874aaa0
1235176191380
131702724a870
14a3b70188b6
1557c3b590a0
hex316b184dd0

212250152400 has 480 divisors, whose sum is σ = 801980669952. Its totient is φ = 47305881600.

The previous prime is 212250152393. The next prime is 212250152453. The reversal of 212250152400 is 4251052212.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45128449 + ... + 45133151.

Almost surely, 2212250152400 is an apocalyptic number.

212250152400 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 212250152400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400990334976).

212250152400 is an abundant number, since it is smaller than the sum of its proper divisors (589730517552).

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

212250152400 is a wasteful number, since it uses less digits than its factorization.

212250152400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5011 (or 5000 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The spelling of 212250152400 in words is "two hundred twelve billion, two hundred fifty million, one hundred fifty-two thousand, four hundred".