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224400322113 = 31167808912547
BaseRepresentation
bin1101000011111101001…
…1010010111001000001
3210110012211210110220020
43100333103102321001
512134032440301423
6251031005404053
722132564160232
oct3207723227101
9713184713806
10224400322113
118719314a370
12375a7269629
13182125405b6
14ac0a967089
155c8568e4e3
hex343f4d2e41

224400322113 has 32 divisors (see below), whose sum is σ = 331339476480. Its totient is φ = 133943103360.

The previous prime is 224400322109. The next prime is 224400322117. The reversal of 224400322113 is 311223004422.

It is a happy number.

224400322113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (224400322109) and next prime (224400322117).

It is not a de Polignac number, because 224400322113 - 22 = 224400322109 is a prime.

It is a super-3 number, since 3×2244003221133 (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (224400322117) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 17878506 + ... + 17891052.

It is an arithmetic number, because the mean of its divisors is an integer number (10354358640).

Almost surely, 2224400322113 is an apocalyptic number.

It is an amenable number.

224400322113 is a deficient number, since it is larger than the sum of its proper divisors (106939154367).

224400322113 is a wasteful number, since it uses less digits than its factorization.

224400322113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20717.

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

Adding to 224400322113 its reverse (311223004422), we get a palindrome (535623326535).

The spelling of 224400322113 in words is "two hundred twenty-four billion, four hundred million, three hundred twenty-two thousand, one hundred thirteen".

Divisors: 1 3 11 33 67 201 737 2211 8089 12547 24267 37641 88979 138017 266937 414051 541963 840649 1625889 2521947 5961593 9247139 17884779 27741417 101492683 304478049 1116419513 3349258539 6800009761 20400029283 74800107371 224400322113