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2224004442 = 2311212724121
BaseRepresentation
bin1000010010001111…
…1001110101011010
312201222212010112220
42010203321311122
514023321120232
61004404044510
7106053503652
oct20443716532
95658763486
102224004442
11a41435500
12520993736
132959b767a
14171529362
15d03ae42c
hex848f9d5a

2224004442 has 48 divisors (see below), whose sum is σ = 4927835136. Its totient is φ = 668606400.

The previous prime is 2224004411. The next prime is 2224004483. The reversal of 2224004442 is 2444004222.

2224004442 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80142 + ... + 104262.

It is an arithmetic number, because the mean of its divisors is an integer number (102663232).

Almost surely, 22224004442 is an apocalyptic number.

2224004442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2224004442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2463917568).

2224004442 is an abundant number, since it is smaller than the sum of its proper divisors (2703830694).

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

2224004442 is a wasteful number, since it uses less digits than its factorization.

2224004442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24275 (or 24264 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 2224004442 is about 47159.3515858732. The cubic root of 2224004442 is about 1305.3046448969.

Adding to 2224004442 its reverse (2444004222), we get a palindrome (4668008664).

The spelling of 2224004442 in words is "two billion, two hundred twenty-four million, four thousand, four hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 121 127 242 254 363 381 726 762 1397 2794 4191 8382 15367 24121 30734 46101 48242 72363 92202 144726 265331 530662 795993 1591986 2918641 3063367 5837282 6126734 8755923 9190101 17511846 18380202 33697037 67394074 101091111 202182222 370667407 741334814 1112002221 2224004442