Search a number
-
+
213202312 = 23149383467
BaseRepresentation
bin11001011010100…
…11010110001000
3112212011210120221
430231103112020
5414034433222
633053355424
75166122041
oct1455232610
9485153527
10213202312
11aa390064
125b498b74
133522a61b
142045b8c8
1513ab60c7
hexcb53588

213202312 has 32 divisors (see below), whose sum is σ = 404352000. Its totient is φ = 105383104.

The previous prime is 213202309. The next prime is 213202331.

213202312 is nontrivially palindromic in base 10.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 456303 + ... + 456769.

It is an arithmetic number, because the mean of its divisors is an integer number (12636000).

Almost surely, 2213202312 is an apocalyptic number.

It is an amenable number.

213202312 is a deficient number, since it is larger than the sum of its proper divisors (191149688).

213202312 is a wasteful number, since it uses less digits than its factorization.

213202312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 213202312 is about 14601.4489691948. The cubic root of 213202312 is about 597.3982829014.

It can be divided in two parts, 21320 and 2312, that added together give a palindrome (23632).

The spelling of 213202312 in words is "two hundred thirteen million, two hundred two thousand, three hundred twelve".

Divisors: 1 2 4 8 149 298 383 467 596 766 934 1192 1532 1868 3064 3736 57067 69583 114134 139166 178861 228268 278332 357722 456536 556664 715444 1430888 26650289 53300578 106601156 213202312