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2947224 = 233753331
BaseRepresentation
bin1011001111100010011000
312112201211110
423033202120
51223302344
6143100320
734023330
oct13174230
95481743
102947224
111733325
12ba16a0
137c2627
1456a0c0
153d33b9
hex2cf898

2947224 has 64 divisors (see below), whose sum is σ = 8605440. Its totient is φ = 823680.

The previous prime is 2947213. The next prime is 2947249. The reversal of 2947224 is 4227492.

2947224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×29472242 = 17372258612352, which contains 22 as substring.

It is a d-powerful number, because it can be written as 29 + 94 + 45 + 77 + 211 + 221 + 47 .

It is a junction number, because it is equal to n+sod(n) for n = 2947191 and 2947200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8739 + ... + 9069.

It is an arithmetic number, because the mean of its divisors is an integer number (134460).

22947224 is an apocalyptic number.

2947224 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 2947224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4302720).

2947224 is an abundant number, since it is smaller than the sum of its proper divisors (5658216).

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

2947224 is a wasteful number, since it uses less digits than its factorization.

2947224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 396 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 2947224 is about 1716.7480886840. The cubic root of 2947224 is about 143.3742134461.

The spelling of 2947224 in words is "two million, nine hundred forty-seven thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 53 56 84 106 159 168 212 318 331 371 424 636 662 742 993 1113 1272 1324 1484 1986 2226 2317 2648 2968 3972 4452 4634 6951 7944 8904 9268 13902 17543 18536 27804 35086 52629 55608 70172 105258 122801 140344 210516 245602 368403 421032 491204 736806 982408 1473612 2947224