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212423202240 = 2635739731249
BaseRepresentation
bin1100010111010101101…
…0001101010111000000
3202022022010201202011220
43011311122031113000
511440020314432430
6241330314235040
721230021266344
oct3056532152700
9668263652156
10212423202240
11820a73a5997
1235204125a80
131705405a112
14a3d1dc3624
1557d3e3d110
hex317568d5c0

212423202240 has 224 divisors, whose sum is σ = 690753000000. Its totient is φ = 55292461056.

The previous prime is 212423202193. The next prime is 212423202283. The reversal of 212423202240 is 42202324212.

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

It is a self number, because there is not a number n which added to its sum of digits gives 212423202240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6782136 + ... + 6813384.

It is an arithmetic number, because the mean of its divisors is an integer number (3083718750).

Almost surely, 2212423202240 is an apocalyptic number.

212423202240 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 212423202240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345376500000).

212423202240 is an abundant number, since it is smaller than the sum of its proper divisors (478329797760).

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

212423202240 is a wasteful number, since it uses less digits than its factorization.

212423202240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31439 (or 31429 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 212423202240 its reverse (42202324212), we get a palindrome (254625526452).

The spelling of 212423202240 in words is "two hundred twelve billion, four hundred twenty-three million, two hundred two thousand, two hundred forty".