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211528340 = 225101104717
BaseRepresentation
bin11001001101110…
…10101010010100
3112202000202022222
430212322222110
5413122401330
632553441512
75145650462
oct1446725224
9482022288
10211528340
11a9447411
125aa10298
1334a926ca
1420143832
15138850e5
hexc9baa94

211528340 has 24 divisors (see below), whose sum is σ = 448611912. Its totient is φ = 83772800.

The previous prime is 211528337. The next prime is 211528363. The reversal of 211528340 is 43825112.

211528340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 26894596 + 184633744 = 5186^2 + 13588^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50339 + ... + 54378.

It is an arithmetic number, because the mean of its divisors is an integer number (18692163).

Almost surely, 2211528340 is an apocalyptic number.

211528340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211528340 is an abundant number, since it is smaller than the sum of its proper divisors (237083572).

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

211528340 is a wasteful number, since it uses less digits than its factorization.

211528340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104827 (or 104825 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 211528340 is about 14544.0138888823. The cubic root of 211528340 is about 595.8306689803.

It can be divided in two parts, 21152 and 8340, that added together give a palindrome (29492).

The spelling of 211528340 in words is "two hundred eleven million, five hundred twenty-eight thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 101 202 404 505 1010 2020 104717 209434 418868 523585 1047170 2094340 10576417 21152834 42305668 52882085 105764170 211528340