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2314224 = 243311487
BaseRepresentation
bin1000110100111111110000
311100120112000
420310333300
51043023344
6121334000
725446003
oct10647760
94316460
102314224
111340790
12937300
13630483
1444353a
1530aa69
hex234ff0

2314224 has 80 divisors (see below), whose sum is σ = 7261440. Its totient is φ = 699840.

The previous prime is 2314199. The next prime is 2314231. The reversal of 2314224 is 4224132.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2314197 and 2314206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4509 + ... + 4995.

It is an arithmetic number, because the mean of its divisors is an integer number (90768).

22314224 is an apocalyptic number.

2314224 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 2314224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3630720).

2314224 is an abundant number, since it is smaller than the sum of its proper divisors (4947216).

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

2314224 is a wasteful number, since it uses less digits than its factorization.

2314224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 503 counting only the distinct ones).

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

The square root of 2314224 is about 1521.2573746740. The cubic root of 2314224 is about 132.2721657190.

Adding to 2314224 its reverse (4224132), we get a palindrome (6538356).

The spelling of 2314224 in words is "two million, three hundred fourteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 487 528 594 792 974 1188 1461 1584 1948 2376 2922 3896 4383 4752 5357 5844 7792 8766 10714 11688 13149 16071 17532 21428 23376 26298 32142 35064 42856 48213 52596 64284 70128 85712 96426 105192 128568 144639 192852 210384 257136 289278 385704 578556 771408 1157112 2314224