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211334442 = 23112326053
BaseRepresentation
bin11001001100010…
…11010100101010
3112201122220100120
430212023110222
5413100200232
632545344110
75144212254
oct1446132452
9481586316
10211334442
11a9324770
125a938036
1334a25387
14200d2cd4
151384792c
hexc98b52a

211334442 has 48 divisors (see below), whose sum is σ = 482092128. Its totient is φ = 61246240.

The previous prime is 211334437. The next prime is 211334443. The reversal of 211334442 is 244433112.

It is not an unprimeable number, because it can be changed into a prime (211334443) 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 23 ways as a sum of consecutive naturals, for example, 31888 + ... + 37940.

It is an arithmetic number, because the mean of its divisors is an integer number (10043586).

Almost surely, 2211334442 is an apocalyptic number.

211334442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 211334442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241046064).

211334442 is an abundant number, since it is smaller than the sum of its proper divisors (270757686).

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

211334442 is a wasteful number, since it uses less digits than its factorization.

211334442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6115 (or 6092 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 211334442 is about 14537.3464566268. The cubic root of 211334442 is about 595.6485567498.

Adding to 211334442 its reverse (244433112), we get a palindrome (455767554).

The spelling of 211334442 in words is "two hundred eleven million, three hundred thirty-four thousand, four hundred forty-two".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 138 253 506 529 759 1058 1518 1587 3174 5819 6053 11638 12106 17457 18159 34914 36318 66583 133166 139219 199749 278438 399498 417657 835314 1531409 3062818 3202037 4594227 6404074 9188454 9606111 19212222 35222407 70444814 105667221 211334442