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213928484 = 227112233271
BaseRepresentation
bin11001100000001…
…00101000100100
3112220112200201012
430300010220210
5414231202414
633121121352
75205235130
oct1460045044
9486480635
10213928484
11aa836700
125b789258
1335423003
14205aa3c0
1513bab33e
hexcc04a24

213928484 has 72 divisors (see below), whose sum is σ = 474050304. Its totient is φ = 82684800.

The previous prime is 213928439. The next prime is 213928501. The reversal of 213928484 is 484829312.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 789269 + ... + 789539.

It is an arithmetic number, because the mean of its divisors is an integer number (6584032).

Almost surely, 2213928484 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 213928484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237025152).

213928484 is an abundant number, since it is smaller than the sum of its proper divisors (260121820).

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

213928484 is a wasteful number, since it uses less digits than its factorization.

213928484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 524 counting only the distinct ones).

The product of its digits is 110592, while the sum is 41.

The square root of 213928484 is about 14626.2942675170. The cubic root of 213928484 is about 598.0757650934.

It can be divided in two parts, 213928 and 484, that added together give a palindrome (214412).

The spelling of 213928484 in words is "two hundred thirteen million, nine hundred twenty-eight thousand, four hundred eighty-four".

Divisors: 1 2 4 7 11 14 22 28 44 77 121 154 233 242 271 308 466 484 542 847 932 1084 1631 1694 1897 2563 2981 3262 3388 3794 5126 5962 6524 7588 10252 11924 17941 20867 28193 32791 35882 41734 56386 63143 65582 71764 83468 112772 126286 131164 197351 229537 252572 394702 442001 459074 694573 789404 884002 918148 1389146 1768004 2778292 4862011 7640303 9724022 15280606 19448044 30561212 53482121 106964242 213928484