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220523316 = 223132336067
BaseRepresentation
bin11010010010011…
…10101100110100
3120100221202010020
431021032230310
5422423221231
633514325140
75315263056
oct1511165464
9510852106
10220523316
11103530482
1261a297b0
13368c1990
14214058d6
1514560396
hexd24eb34

220523316 has 48 divisors (see below), whose sum is σ = 556605504. Its totient is φ = 67550976.

The previous prime is 220523311. The next prime is 220523353. The reversal of 220523316 is 613325022.

220523316 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220523311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33315 + ... + 39381.

It is an arithmetic number, because the mean of its divisors is an integer number (11595948).

Almost surely, 2220523316 is an apocalyptic number.

220523316 is a gapful number since it is divisible by the number (26) 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 220523316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278302752).

220523316 is an abundant number, since it is smaller than the sum of its proper divisors (336082188).

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

220523316 is a wasteful number, since it uses less digits than its factorization.

220523316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6320 (or 6318 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 220523316 is about 14850.0274747221. The cubic root of 220523316 is about 604.1593552018.

Adding to 220523316 its reverse (613325022), we get a palindrome (833848338).

The spelling of 220523316 in words is "two hundred twenty million, five hundred twenty-three thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 233 466 699 932 1398 2796 3029 6058 6067 9087 12116 12134 18174 18201 24268 36348 36402 72804 78871 157742 236613 315484 473226 946452 1413611 2827222 4240833 5654444 8481666 16963332 18376943 36753886 55130829 73507772 110261658 220523316