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211049140 = 225411631579
BaseRepresentation
bin11001001010001…
…01101010110100
3112201010101222211
430211011222310
5413012033030
632535303204
75141613421
oct1445055264
9481111884
10211049140
11a914a385
125a81ab04
1334955563
142005ad48
15137dd12a
hexc945ab4

211049140 has 48 divisors (see below), whose sum is σ = 457087680. Its totient is φ = 81803520.

The previous prime is 211049119. The next prime is 211049149. The reversal of 211049140 is 41940112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211049149) 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 15 ways as a sum of consecutive naturals, for example, 132871 + ... + 134449.

It is an arithmetic number, because the mean of its divisors is an integer number (9522660).

Almost surely, 2211049140 is an apocalyptic number.

211049140 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 211049140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228543840).

211049140 is an abundant number, since it is smaller than the sum of its proper divisors (246038540).

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

211049140 is a wasteful number, since it uses less digits than its factorization.

211049140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1792 (or 1790 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 211049140 is about 14527.5304164197. The cubic root of 211049140 is about 595.3803937166.

Adding to 211049140 its reverse (41940112), we get a palindrome (252989252).

The spelling of 211049140 in words is "two hundred eleven million, forty-nine thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 41 82 163 164 205 326 410 652 815 820 1579 1630 3158 3260 6316 6683 7895 13366 15790 26732 31580 33415 64739 66830 129478 133660 257377 258956 323695 514754 647390 1029508 1286885 1294780 2573770 5147540 10552457 21104914 42209828 52762285 105524570 211049140