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211355140 = 22510567757
BaseRepresentation
bin11001001100100…
…00011000000100
3112201200221202011
430212100120010
5413101331030
632550024004
75144326513
oct1446203004
9481627664
10211355140
11a9339277
125a948004
1334a31919
14200da67a
151384db2a
hexc990604

211355140 has 12 divisors (see below), whose sum is σ = 443845836. Its totient is φ = 84542048.

The previous prime is 211355129. The next prime is 211355141. The reversal of 211355140 is 41553112.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 67930564 + 143424576 = 8242^2 + 11976^2 .

It is a super-3 number, since 3×2113551403 (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (211355141) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5283859 + ... + 5283898.

It is an arithmetic number, because the mean of its divisors is an integer number (36987153).

Almost surely, 2211355140 is an apocalyptic number.

211355140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211355140 is an abundant number, since it is smaller than the sum of its proper divisors (232490696).

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

211355140 is a wasteful number, since it uses less digits than its factorization.

211355140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10567766 (or 10567764 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 211355140 is about 14538.0583297771. The cubic root of 211355140 is about 595.6680019654.

The spelling of 211355140 in words is "two hundred eleven million, three hundred fifty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 10567757 21135514 42271028 52838785 105677570 211355140