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553320216 = 2332174310513
BaseRepresentation
bin100000111110101…
…111111100011000
31102120011120122100
4200332233330120
52113122221331
6130523323400
716466100321
oct4076577430
91376146570
10553320216
11264375739
12135380560
138a833817
14536b5448
153389bae6
hex20faff18

553320216 has 96 divisors (see below), whose sum is σ = 1623782160. Its totient is φ = 169537536.

The previous prime is 553320197. The next prime is 553320277. The reversal of 553320216 is 612023355.

It is a super-2 number, since 2×5533202162 = 612326522868573312, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 553320216.

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 23 ways as a sum of consecutive naturals, for example, 47376 + ... + 57888.

Almost surely, 2553320216 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 553320216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811891080).

553320216 is an abundant number, since it is smaller than the sum of its proper divisors (1070461944).

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

553320216 is a wasteful number, since it uses less digits than its factorization.

553320216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10585 (or 10578 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 553320216 is about 23522.7595319937. The cubic root of 553320216 is about 820.9666450853.

It can be divided in two parts, 553320 and 216, that added together give a square (553536 = 7442).

The spelling of 553320216 in words is "five hundred fifty-three million, three hundred twenty thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 43 51 68 72 86 102 129 136 153 172 204 258 306 344 387 408 516 612 731 774 1032 1224 1462 1548 2193 2924 3096 4386 5848 6579 8772 10513 13158 17544 21026 26316 31539 42052 52632 63078 84104 94617 126156 178721 189234 252312 357442 378468 452059 536163 714884 756936 904118 1072326 1356177 1429768 1608489 1808236 2144652 2712354 3216978 3616472 4068531 4289304 5424708 6433956 7685003 8137062 10849416 12867912 15370006 16274124 23055009 30740012 32548248 46110018 61480024 69165027 92220036 138330054 184440072 276660108 553320216