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211324240 = 2452641553
BaseRepresentation
bin11001001100010…
…00110101010000
3112201122101100201
430212020311100
5413044333430
632545224544
75144140441
oct1446106520
9481571321
10211324240
11a9318036
125a932154
1334a2083a
14200cd2c8
15138448ca
hexc988d50

211324240 has 20 divisors (see below), whose sum is σ = 491329044. Its totient is φ = 84529664.

The previous prime is 211324163. The next prime is 211324249. The reversal of 211324240 is 42423112.

It can be written as a sum of positive squares in 2 ways, for example, as 47279376 + 164044864 = 6876^2 + 12808^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211324249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1320697 + ... + 1320856.

Almost surely, 2211324240 is an apocalyptic number.

211324240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211324240 is an abundant number, since it is smaller than the sum of its proper divisors (280004804).

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

211324240 is a wasteful number, since it uses less digits than its factorization.

211324240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2641566 (or 2641560 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 211324240 is about 14536.9955630453. The cubic root of 211324240 is about 595.6389717774.

Adding to 211324240 its reverse (42423112), we get a palindrome (253747352).

The spelling of 211324240 in words is "two hundred eleven million, three hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2641553 5283106 10566212 13207765 21132424 26415530 42264848 52831060 105662120 211324240