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224032122 = 233712823
BaseRepresentation
bin11010101101001…
…11010101111010
3120121120000022000
431112213111322
5424323011442
634121441430
75360145606
oct1526472572
9517500260
10224032122
11105507716
1263040276
133754cab2
1421a7a506
1514a04d4c
hexd5a757a

224032122 has 48 divisors (see below), whose sum is σ = 505573440. Its totient is φ = 73536120.

The previous prime is 224032117. The next prime is 224032129. The reversal of 224032122 is 221230422.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 224032095 and 224032104.

It is not an unprimeable number, because it can be changed into a prime (224032129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 271803 + ... + 272625.

It is an arithmetic number, because the mean of its divisors is an integer number (10532780).

Almost surely, 2224032122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224032122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252786720).

224032122 is an abundant number, since it is smaller than the sum of its proper divisors (281541318).

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

224032122 is an equidigital number, since it uses as much as digits as its factorization.

224032122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 224032122 is about 14967.7026293283. The cubic root of 224032122 is about 607.3468231397.

Adding to 224032122 its reverse (221230422), we get a palindrome (445262544).

The spelling of 224032122 in words is "two hundred twenty-four million, thirty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 71 142 213 426 639 823 1278 1646 1917 2469 3834 4938 5041 7407 10082 14814 15123 22221 30246 44442 45369 58433 90738 116866 136107 175299 272214 350598 525897 1051794 1577691 3155382 4148743 8297486 12446229 24892458 37338687 74677374 112016061 224032122