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2330422224 = 2431327113781
BaseRepresentation
bin1000101011100111…
…0110101111010000
320000102002201022020
42022321312233100
514233042002344
61023125011440
7111515155614
oct21271665720
96012081266
102330422224
11a9650a789
12550553b80
132b1a67380
1418170b344
15d98d0719
hex8ae76bd0

2330422224 has 80 divisors (see below), whose sum is σ = 6507750144. Its totient is φ = 714355200.

The previous prime is 2330422201. The next prime is 2330422253. The reversal of 2330422224 is 4222240332.

It is a happy number.

It is a super-2 number, since 2×23304222242 = 10861735484226212352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2330422194 and 2330422203.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 162214 + ... + 175994.

Almost surely, 22330422224 is an apocalyptic number.

2330422224 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 2330422224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3253875072).

2330422224 is an abundant number, since it is smaller than the sum of its proper divisors (4177327920).

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

2330422224 is a wasteful number, since it uses less digits than its factorization.

2330422224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14076 (or 14070 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 2330422224 is about 48274.4469051692. The cubic root of 2330422224 is about 1325.8005792432.

Adding to 2330422224 its reverse (4222240332), we get a palindrome (6552662556).

The spelling of 2330422224 in words is "two billion, three hundred thirty million, four hundred twenty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 271 312 542 624 813 1084 1626 2168 3252 3523 4336 6504 7046 10569 13008 13781 14092 21138 27562 28184 41343 42276 55124 56368 82686 84552 110248 165372 169104 179153 220496 330744 358306 537459 661488 716612 1074918 1433224 2149836 2866448 3734651 4299672 7469302 8599344 11203953 14938604 22407906 29877208 44815812 48550463 59754416 89631624 97100926 145651389 179263248 194201852 291302778 388403704 582605556 776807408 1165211112 2330422224