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512222216 = 231119833691
BaseRepresentation
bin11110100001111…
…110010000001000
31022200211120210012
4132201332100020
52022112102331
6122454411052
715456550142
oct3641762010
91280746705
10512222216
11243155150
12123660a88
138217428c
144c057c92
152ee7e82b
hex1e87e408

512222216 has 64 divisors (see below), whose sum is σ = 1116460800. Its totient is φ = 217857600.

The previous prime is 512222203. The next prime is 512222237. The reversal of 512222216 is 612222215.

It is a junction number, because it is equal to n+sod(n) for n = 512222191 and 512222200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136931 + ... + 140621.

It is an arithmetic number, because the mean of its divisors is an integer number (17444700).

Almost surely, 2512222216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 512222216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558230400).

512222216 is an abundant number, since it is smaller than the sum of its proper divisors (604238584).

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

512222216 is a wasteful number, since it uses less digits than its factorization.

512222216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3810 (or 3806 counting only the distinct ones).

The product of its digits is 960, while the sum is 23.

The square root of 512222216 is about 22632.3267915608. The cubic root of 512222216 is about 800.1157207601.

Subtracting 512222216 from its reverse (612222215), we obtain a palindrome (99999999).

It can be divided in two parts, 5 and 12222216, that added together give a palindrome (12222221).

The spelling of 512222216 in words is "five hundred twelve million, two hundred twenty-two thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 19 22 38 44 76 83 88 152 166 209 332 418 664 836 913 1577 1672 1826 3154 3652 3691 6308 7304 7382 12616 14764 17347 29528 34694 40601 69388 70129 81202 138776 140258 162404 280516 306353 324808 561032 612706 771419 1225412 1542838 2450824 3085676 3369883 5820707 6171352 6739766 11641414 13479532 23282828 26959064 46565656 64027777 128055554 256111108 512222216