Search a number
-
+
216159328 = 25711372371
BaseRepresentation
bin11001110001001…
…01010001100000
3120001202000212001
430320211101200
5420314044303
633241013344
75233216060
oct1470452140
9501660761
10216159328
1110101a780
1260484254
1335a24538
14209cb3a0
1513e9c31d
hexce25460

216159328 has 96 divisors (see below), whose sum is σ = 545142528. Its totient is φ = 81907200.

The previous prime is 216159319. The next prime is 216159329. The reversal of 216159328 is 823951612.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216159329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89983 + ... + 92353.

It is an arithmetic number, because the mean of its divisors is an integer number (5678568).

Almost surely, 2216159328 is an apocalyptic number.

216159328 is a gapful number since it is divisible by the number (28) 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 216159328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272571264).

216159328 is an abundant number, since it is smaller than the sum of its proper divisors (328983200).

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

216159328 is a wasteful number, since it uses less digits than its factorization.

216159328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2436 (or 2428 counting only the distinct ones).

The product of its digits is 25920, while the sum is 37.

The square root of 216159328 is about 14702.3579061319. The cubic root of 216159328 is about 600.1474896676.

The spelling of 216159328 in words is "two hundred sixteen million, one hundred fifty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 37 44 56 74 77 88 112 148 154 176 224 259 296 308 352 407 518 592 616 814 1036 1184 1232 1628 2072 2371 2464 2849 3256 4144 4742 5698 6512 8288 9484 11396 13024 16597 18968 22792 26081 33194 37936 45584 52162 66388 75872 87727 91168 104324 132776 175454 182567 208648 265552 350908 365134 417296 531104 614089 701816 730268 834592 964997 1228178 1403632 1460536 1929994 2456356 2807264 2921072 3859988 4912712 5842144 6754979 7719976 9825424 13509958 15439952 19650848 27019916 30879904 54039832 108079664 216159328