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213415340 = 22579293461
BaseRepresentation
bin11001011100001…
…11010110101100
3112212120121210212
430232013112230
5414113242330
633102121552
75201000105
oct1456072654
9485517725
10213415340
11aa516116
125b5802b8
13352a3588
14204b53ac
1513b09295
hexcb875ac

213415340 has 48 divisors (see below), whose sum is σ = 456382080. Its totient is φ = 83815680.

The previous prime is 213415339. The next prime is 213415343. The reversal of 213415340 is 43514312.

It is a super-2 number, since 2×2134153402 = 91092214694631200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (213415343) 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, 462710 + ... + 463170.

It is an arithmetic number, because the mean of its divisors is an integer number (9507960).

Almost surely, 2213415340 is an apocalyptic number.

213415340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213415340 is an abundant number, since it is smaller than the sum of its proper divisors (242966740).

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

213415340 is a wasteful number, since it uses less digits than its factorization.

213415340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 213415340 is about 14608.7419033947. The cubic root of 213415340 is about 597.5971866211.

Adding to 213415340 its reverse (43514312), we get a palindrome (256929652).

The spelling of 213415340 in words is "two hundred thirteen million, four hundred fifteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 79 158 293 316 395 461 586 790 922 1172 1465 1580 1844 2305 2930 4610 5860 9220 23147 36419 46294 72838 92588 115735 135073 145676 182095 231470 270146 364190 462940 540292 675365 728380 1350730 2701460 10670767 21341534 42683068 53353835 106707670 213415340