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2442033220 = 2251113781023
BaseRepresentation
bin1001000110001110…
…0111100001000100
320022012010010210211
42101203213201010
520000130030340
61042153125204
7114341640244
oct22143474104
96265103724
102442033220
111043511780
125819b9804
132cbc14a93
14192481b24
15e45ca5ea
hex918e7844

2442033220 has 48 divisors (see below), whose sum is σ = 5635381248. Its totient is φ = 881519360.

The previous prime is 2442033193. The next prime is 2442033241. The reversal of 2442033220 is 223302442.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2442033191 and 2442033200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10372 + ... + 70651.

It is an arithmetic number, because the mean of its divisors is an integer number (117403776).

Almost surely, 22442033220 is an apocalyptic number.

2442033220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2442033220 is an abundant number, since it is smaller than the sum of its proper divisors (3193348028).

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

2442033220 is a wasteful number, since it uses less digits than its factorization.

2442033220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81180 (or 81178 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 2442033220 is about 49416.9325231747. The cubic root of 2442033220 is about 1346.6369367627.

Adding to 2442033220 its reverse (223302442), we get a palindrome (2665335662).

The spelling of 2442033220 in words is "two billion, four hundred forty-two million, thirty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 137 220 274 548 685 1370 1507 2740 3014 6028 7535 15070 30140 81023 162046 324092 405115 810230 891253 1620460 1782506 3565012 4456265 8912530 11100151 17825060 22200302 44400604 55500755 111001510 122101661 222003020 244203322 488406644 610508305 1221016610 2442033220