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431220224 = 296113807
BaseRepresentation
bin11001101100111…
…110011000000000
31010001102020221102
4121230332120000
51340343021344
6110442313532
713454211551
oct3154763000
91101366842
10431220224
1120145a156
121004b88a8
136b452ac6
14413b0328
1527ccde4e
hex19b3e600

431220224 has 40 divisors (see below), whose sum is σ = 875786208. Its totient is φ = 212060160.

The previous prime is 431220217. The next prime is 431220239. The reversal of 431220224 is 422022134.

It is a super-2 number, since 2×4312202242 = 371901763173220352, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 431220196 and 431220205.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 24329 + ... + 38135.

Almost surely, 2431220224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431220224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437893104).

431220224 is an abundant number, since it is smaller than the sum of its proper divisors (444565984).

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

431220224 is an equidigital number, since it uses as much as digits as its factorization.

431220224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13886 (or 13870 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 431220224 is about 20765.8427230874. The cubic root of 431220224 is about 755.4975151622.

Adding to 431220224 its reverse (422022134), we get a palindrome (853242358).

The spelling of 431220224 in words is "four hundred thirty-one million, two hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 256 488 512 976 1952 3904 7808 13807 15616 27614 31232 55228 110456 220912 441824 842227 883648 1684454 1767296 3368908 3534592 6737816 7069184 13475632 26951264 53902528 107805056 215610112 431220224