Search a number
-
+
215513116 = 227133171269
BaseRepresentation
bin11001101100001…
…11100000011100
3120000112012102021
430312013200130
5420132404431
633215105524
75224555060
oct1466074034
9500465367
10215513116
11100719215
12602122a4
1335859370
142089daa0
1513dc0b11
hexcd8781c

215513116 has 96 divisors (see below), whose sum is σ = 487710720. Its totient is φ = 81043200.

The previous prime is 215513113. The next prime is 215513141. The reversal of 215513116 is 611315512.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215513113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 801030 + ... + 801298.

It is an arithmetic number, because the mean of its divisors is an integer number (5080320).

Almost surely, 2215513116 is an apocalyptic number.

215513116 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 215513116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243855360).

215513116 is an abundant number, since it is smaller than the sum of its proper divisors (272197604).

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

215513116 is a wasteful number, since it uses less digits than its factorization.

215513116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 393 counting only the distinct ones).

The product of its digits is 900, while the sum is 25.

The square root of 215513116 is about 14680.3649818388. The cubic root of 215513116 is about 599.5488423278.

Adding to 215513116 its reverse (611315512), we get a palindrome (826828628).

The spelling of 215513116 in words is "two hundred fifteen million, five hundred thirteen thousand, one hundred sixteen".

Divisors: 1 2 4 7 13 14 26 28 31 52 62 71 91 124 142 182 217 269 284 364 403 434 497 538 806 868 923 994 1076 1612 1846 1883 1988 2201 2821 3497 3692 3766 4402 5642 6461 6994 7532 8339 8804 11284 12922 13988 15407 16678 19099 24479 25844 28613 30814 33356 38198 48958 57226 58373 61628 76396 97916 108407 114452 116746 133693 200291 216814 233492 248287 267386 400582 433628 496574 534772 592069 758849 801164 993148 1184138 1517698 1738009 2368276 3035396 3476018 4144483 6952036 7696897 8288966 15393794 16577932 30787588 53878279 107756558 215513116