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211148340 = 223513421643
BaseRepresentation
bin11001001010111…
…01111000110100
3112201022110001220
430211131320310
5413023221330
632541350340
75142505554
oct1445357064
9481273056
10211148340
11a9207967
125a8683b0
133498b760
1420085164
151380c710
hexc95de34

211148340 has 96 divisors (see below), whose sum is σ = 639198336. Its totient is φ = 51770880.

The previous prime is 211148321. The next prime is 211148341. The reversal of 211148340 is 43841112.

211148340 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

211148340 is strictly pandigital in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 211148340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211148341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 328059 + ... + 328701.

It is an arithmetic number, because the mean of its divisors is an integer number (6658316).

Almost surely, 2211148340 is an apocalyptic number.

211148340 is a gapful number since it is divisible by the number (20) 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 211148340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319599168).

211148340 is an abundant number, since it is smaller than the sum of its proper divisors (428049996).

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

211148340 is a wasteful number, since it uses less digits than its factorization.

211148340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 211148340 is about 14530.9442225893. The cubic root of 211148340 is about 595.4736618592.

Adding to 211148340 its reverse (43841112), we get a palindrome (254989452).

The spelling of 211148340 in words is "two hundred eleven million, one hundred forty-eight thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 421 643 780 842 1263 1286 1684 1929 2105 2526 2572 3215 3858 4210 5052 5473 6315 6430 7716 8359 8420 9645 10946 12630 12860 16419 16718 19290 21892 25077 25260 27365 32838 33436 38580 41795 50154 54730 65676 82095 83590 100308 109460 125385 164190 167180 250770 270703 328380 501540 541406 812109 1082812 1353515 1624218 2707030 3248436 3519139 4060545 5414060 7038278 8121090 10557417 14076556 16242180 17595695 21114834 35191390 42229668 52787085 70382780 105574170 211148340