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211135340 = 225137271117
BaseRepresentation
bin11001001010110…
…10101101101100
3112201021210020102
430211122231230
5413022312330
632541210232
75142422633
oct1445325554
9481253212
10211135340
11a91a9119
125a860978
1334985870
142008051a
1513808945
hexc95ab6c

211135340 has 48 divisors (see below), whose sum is σ = 478575552. Its totient is φ = 77780736.

The previous prime is 211135339. The next prime is 211135361. The reversal of 211135340 is 43531112.

211135340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 188462 + ... + 189578.

It is an arithmetic number, because the mean of its divisors is an integer number (9970324).

Almost surely, 2211135340 is an apocalyptic number.

211135340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211135340 is an abundant number, since it is smaller than the sum of its proper divisors (267440212).

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

211135340 is a wasteful number, since it uses less digits than its factorization.

211135340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1866 (or 1864 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 211135340 is about 14530.4968944630. The cubic root of 211135340 is about 595.4614408830.

Adding to 211135340 its reverse (43531112), we get a palindrome (254666452).

The spelling of 211135340 in words is "two hundred eleven million, one hundred thirty-five thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 727 1117 1454 2234 2908 3635 4468 5585 7270 9451 11170 14521 14540 18902 22340 29042 37804 47255 58084 72605 94510 145210 189020 290420 812059 1624118 3248236 4060295 8120590 10556767 16241180 21113534 42227068 52783835 105567670 211135340