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224350344 = 23337114629
BaseRepresentation
bin11010101111101…
…01000010001000
3120122011011211000
431113311002020
5424413202334
634132335000
75362642431
oct1527650210
9518134730
10224350344
11105704809
1263174460
13376318aa
1421b20488
1514a69299
hexd5f5088

224350344 has 64 divisors (see below), whose sum is σ = 632016000. Its totient is φ = 73725120.

The previous prime is 224350339. The next prime is 224350361. The reversal of 224350344 is 443053422.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 15 ways as a sum of consecutive naturals, for example, 8022 + ... + 22650.

It is an arithmetic number, because the mean of its divisors is an integer number (9875250).

Almost surely, 2224350344 is an apocalyptic number.

224350344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224350344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316008000).

224350344 is an abundant number, since it is smaller than the sum of its proper divisors (407665656).

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

224350344 is a wasteful number, since it uses less digits than its factorization.

224350344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14715 (or 14705 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 224350344 is about 14978.3291458026. The cubic root of 224350344 is about 607.6342516890.

The spelling of 224350344 in words is "two hundred twenty-four million, three hundred fifty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 71 72 108 142 213 216 284 426 568 639 852 1278 1704 1917 2556 3834 5112 7668 14629 15336 29258 43887 58516 87774 117032 131661 175548 263322 351096 394983 526644 789966 1038659 1053288 1579932 2077318 3115977 3159864 4154636 6231954 8309272 9347931 12463908 18695862 24927816 28043793 37391724 56087586 74783448 112175172 224350344