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512212220 = 2251313914173
BaseRepresentation
bin11110100001111…
…011110011111100
31022200211002001222
4132201323303330
52022111242340
6122454252512
715456506042
oct3641736374
91280732058
10512212220
11243148693
12123657138
138216c870
144c054392
152ee7b8b5
hex1e87bcfc

512212220 has 48 divisors (see below), whose sum is σ = 1166803680. Its totient is φ = 187750656.

The previous prime is 512212219. The next prime is 512212229. The reversal of 512212220 is 22212215.

It is a super-2 number, since 2×5122122202 = 524722716634656800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512212229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29054 + ... + 43226.

It is an arithmetic number, because the mean of its divisors is an integer number (24308410).

Almost surely, 2512212220 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 512212220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583401840).

512212220 is an abundant number, since it is smaller than the sum of its proper divisors (654591460).

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

512212220 is a wasteful number, since it uses less digits than its factorization.

512212220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14334 (or 14332 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 512212220 is about 22632.1059559202. The cubic root of 512212220 is about 800.1105159821.

Adding to 512212220 its reverse (22212215), we get a palindrome (534424435).

The spelling of 512212220 in words is "five hundred twelve million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 139 260 278 556 695 1390 1807 2780 3614 7228 9035 14173 18070 28346 36140 56692 70865 141730 184249 283460 368498 736996 921245 1842490 1970047 3684980 3940094 7880188 9850235 19700470 25610611 39400940 51221222 102442444 128053055 256106110 512212220