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2444422420 = 2251116766533
BaseRepresentation
bin1001000110110010…
…1110110100010100
320022100121112011201
42101230232310110
520001233004140
61042320242244
7114401150656
oct22154566424
96270545151
102444422420
1110448a3820
12582770384
132cc5703cb
141929046d6
15e48ed49a
hex91b2ed14

2444422420 has 48 divisors (see below), whose sum is σ = 5633566848. Its totient is φ = 883544960.

The previous prime is 2444422399. The next prime is 2444422429. The reversal of 2444422420 is 242244442.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2444422429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3474 + ... + 70006.

It is an arithmetic number, because the mean of its divisors is an integer number (117365976).

Almost surely, 22444422420 is an apocalyptic number.

2444422420 is a gapful number since it is divisible by the number (20) 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 2444422420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2816783424).

2444422420 is an abundant number, since it is smaller than the sum of its proper divisors (3189144428).

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

2444422420 is a wasteful number, since it uses less digits than its factorization.

2444422420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66720 (or 66718 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

The square root of 2444422420 is about 49441.1005136415. The cubic root of 2444422420 is about 1347.0759611316.

Adding to 2444422420 its reverse (242244442), we get a palindrome (2686666862).

It can be divided in two parts, 24444 and 22420, that added together give a palindrome (46864).

The spelling of 2444422420 in words is "two billion, four hundred forty-four million, four hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 167 220 334 668 835 1670 1837 3340 3674 7348 9185 18370 36740 66533 133066 266132 332665 665330 731863 1330660 1463726 2927452 3659315 7318630 11111011 14637260 22222022 44444044 55555055 111110110 122221121 222220220 244442242 488884484 611105605 1222211210 2444422420