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224212020444 = 223226323681033
BaseRepresentation
bin1101000011010000010…
…0111110110011011100
3210102201201110202120100
43100310010332303130
512133141234123234
6251000201421100
722125116504616
oct3206404766334
9712651422510
10224212020444
11870a6927555
123755419a790
13181b2520ba9
14abcd94bdb6
155c73d96399
hex343413ecdc

224212020444 has 36 divisors (see below), whose sum is σ = 568913160816. Its totient is φ = 74453164608.

The previous prime is 224212020433. The next prime is 224212020463. The reversal of 224212020444 is 444020212422.

224212020444 is a `hidden beast` number, since 2 + 2 + 4 + 212 + 0 + 2 + 0 + 444 = 666.

224212020444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×2242120204442 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11831049 + ... + 11849984.

It is an arithmetic number, because the mean of its divisors is an integer number (15803143356).

Almost surely, 2224212020444 is an apocalyptic number.

It is an amenable number.

224212020444 is an abundant number, since it is smaller than the sum of its proper divisors (344701140372).

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

224212020444 is a wasteful number, since it uses less digits than its factorization.

224212020444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23681306 (or 23681301 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 224212020444 its reverse (444020212422), we get a palindrome (668232232866).

The spelling of 224212020444 in words is "two hundred twenty-four billion, two hundred twelve million, twenty thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 263 526 789 1052 1578 2367 3156 4734 9468 23681033 47362066 71043099 94724132 142086198 213129297 284172396 426258594 852517188 6228111679 12456223358 18684335037 24912446716 37368670074 56053005111 74737340148 112106010222 224212020444