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4422361240 = 235112941971
BaseRepresentation
bin1000001111001011…
…11110000010011000
3102102012110020011001
410013211332002120
533024111024430
62010454314344
7214406310313
oct40745760230
912365406131
104422361240
11196a342500
12a350589b4
135562920cb
142dd49997a
151ad3a43ca
hex10797e098

4422361240 has 96 divisors (see below), whose sum is σ = 10960019280. Its totient is φ = 1604768000.

The previous prime is 4422361213. The next prime is 4422361247. The reversal of 4422361240 is 421632244.

It is a junction number, because it is equal to n+sod(n) for n = 4422361199 and 4422361208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4422361247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4553955 + ... + 4554925.

Almost surely, 24422361240 is an apocalyptic number.

4422361240 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 4422361240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5480009640).

4422361240 is an abundant number, since it is smaller than the sum of its proper divisors (6537658040).

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

4422361240 is a wasteful number, since it uses less digits than its factorization.

4422361240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1945 (or 1930 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 4422361240 is about 66500.8363857177. The cubic root of 4422361240 is about 1641.4137670270.

Adding to 4422361240 its reverse (421632244), we get a palindrome (4843993484).

The spelling of 4422361240 in words is "four billion, four hundred twenty-two million, three hundred sixty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 941 968 971 1210 1882 1942 2420 3764 3884 4705 4840 4855 7528 7768 9410 9710 10351 10681 18820 19420 20702 21362 37640 38840 41404 42724 51755 53405 82808 85448 103510 106810 113861 117491 207020 213620 227722 234982 414040 427240 455444 469964 569305 587455 910888 913711 939928 1138610 1174910 1827422 2277220 2349820 3654844 4554440 4568555 4699640 7309688 9137110 10050821 18274220 20101642 36548440 40203284 50254105 80406568 100508210 110559031 201016420 221118062 402032840 442236124 552795155 884472248 1105590310 2211180620 4422361240