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440222020 = 225719167991
BaseRepresentation
bin11010001111010…
…100000101000100
31010200100121002021
4122033110011010
51400144101040
6111403252524
713623553060
oct3217240504
91120317067
10440222020
11206548357
1210351a144
1370285204
1442674aa0
15289ab24a
hex1a3d4144

440222020 has 96 divisors (see below), whose sum is σ = 1119928320. Its totient is φ = 141989760.

The previous prime is 440222009. The next prime is 440222023. The reversal of 440222020 is 20222044.

It is a junction number, because it is equal to n+sod(n) for n = 440221985 and 440222003.

It is not an unprimeable number, because it can be changed into a prime (440222023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 443725 + ... + 444715.

It is an arithmetic number, because the mean of its divisors is an integer number (11665920).

Almost surely, 2440222020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 440222020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559964160).

440222020 is an abundant number, since it is smaller than the sum of its proper divisors (679706300).

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

440222020 is a wasteful number, since it uses less digits than its factorization.

440222020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1193 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 440222020 is about 20981.4684900748. The cubic root of 440222020 is about 760.7183996570.

Adding to 440222020 its reverse (20222044), we get a palindrome (460444064).

The spelling of 440222020 in words is "four hundred forty million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 167 190 266 334 380 532 665 668 835 991 1169 1330 1670 1982 2338 2660 3173 3340 3964 4676 4955 5845 6346 6937 9910 11690 12692 13874 15865 18829 19820 22211 23380 27748 31730 34685 37658 44422 63460 69370 75316 88844 94145 111055 131803 138740 165497 188290 222110 263606 330994 376580 444220 527212 659015 661988 827485 1158479 1318030 1654970 2316958 2636060 3144443 3309940 4633916 5792395 6288886 11584790 12577772 15722215 22011101 23169580 31444430 44022202 62888860 88044404 110055505 220111010 440222020