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4422231440 = 2451112739569
BaseRepresentation
bin1000001111001010…
…11110010110010000
3102102012012122002122
410013211132112100
533024042401230
62010451433412
7214405230014
oct40745362620
912365178078
104422231440
11196a263a30
12a34bb5868
13556247cc3
142dd464544
151ad37abe5
hex10795e590

4422231440 has 80 divisors (see below), whose sum is σ = 11304990720. Its totient is φ = 1595381760.

The previous prime is 4422231391. The next prime is 4422231467. The reversal of 4422231440 is 441322244.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×44222314402 = 39112261817848947200, which contains 22 as substring.

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, 91976 + ... + 131544.

It is an arithmetic number, because the mean of its divisors is an integer number (141312384).

Almost surely, 24422231440 is an apocalyptic number.

4422231440 is a gapful number since it is divisible by the number (40) 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 4422231440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5652495360).

4422231440 is an abundant number, since it is smaller than the sum of its proper divisors (6882759280).

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

4422231440 is a wasteful number, since it uses less digits than its factorization.

4422231440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39720 (or 39714 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

The square root of 4422231440 is about 66499.8604509814. The cubic root of 4422231440 is about 1641.3977079144.

Adding to 4422231440 its reverse (441322244), we get a palindrome (4863553684).

The spelling of 4422231440 in words is "four billion, four hundred twenty-two million, two hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 127 176 220 254 440 508 635 880 1016 1270 1397 2032 2540 2794 5080 5588 6985 10160 11176 13970 22352 27940 39569 55880 79138 111760 158276 197845 316552 395690 435259 633104 791380 870518 1582760 1741036 2176295 3165520 3482072 4352590 5025263 6964144 8705180 10050526 17410360 20101052 25126315 34820720 40202104 50252630 55277893 80404208 100505260 110555786 201010520 221111572 276389465 402021040 442223144 552778930 884446288 1105557860 2211115720 4422231440