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212404425200 = 245211389124097
BaseRepresentation
bin1100010111010001001…
…0100101000111110000
3202022020211101202220222
43011310102211013300
511440001013101300
6241324403552212
721226402552652
oct3056422450760
9668224352828
10212404425200
1182097840480
12351b998b668
13170501b4546
14a3cd6d66d2
1557d247e785
hex31744a51f0

212404425200 has 120 divisors (see below), whose sum is σ = 558128273040. Its totient is φ = 77038796800.

The previous prime is 212404425199. The next prime is 212404425209. The reversal of 212404425200 is 2524404212.

It is a self number, because there is not a number n which added to its sum of digits gives 212404425200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212404425209) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1649552 + ... + 1773648.

It is an arithmetic number, because the mean of its divisors is an integer number (4651068942).

Almost surely, 2212404425200 is an apocalyptic number.

212404425200 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 212404425200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279064136520).

212404425200 is an abundant number, since it is smaller than the sum of its proper divisors (345723847840).

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

212404425200 is a wasteful number, since it uses less digits than its factorization.

212404425200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124515 (or 124504 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 26.

Adding to 212404425200 its reverse (2524404212), we get a palindrome (214928829412).

The spelling of 212404425200 in words is "two hundred twelve billion, four hundred four million, four hundred twenty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 389 400 440 550 778 880 1100 1556 1945 2200 3112 3890 4279 4400 6224 7780 8558 9725 15560 17116 19450 21395 31120 34232 38900 42790 68464 77800 85580 106975 124097 155600 171160 213950 248194 342320 427900 496388 620485 855800 992776 1240970 1365067 1711600 1985552 2481940 2730134 3102425 4963880 5460268 6204850 6825335 9927760 10920536 12409700 13650670 21841072 24819400 27301340 34126675 48273733 49638800 54602680 68253350 96547466 109205360 136506700 193094932 241368665 273013400 386189864 482737330 531011063 546026800 772379728 965474660 1062022126 1206843325 1930949320 2124044252 2413686650 2655055315 3861898640 4248088504 4827373300 5310110630 8496177008 9654746600 10620221260 13275276575 19309493200 21240442520 26550553150 42480885040 53101106300 106202212600 212404425200