Search a number
-
+
2224041102020 = 2251071516882593
BaseRepresentation
bin100000010111010011001…
…011100000101011000100
321212121122020201001112102
4200113103023200223010
5242414314010231040
64421413235211232
7316452545310353
oct40272313405304
97777566631472
102224041102020
11788235248841
122bb04aa46b18
13131959540baa
147990382999a
153ccbbd61515
hex205d32e0ac4

2224041102020 has 48 divisors (see below), whose sum is σ = 4745355850368. Its totient is φ = 875465702400.

The previous prime is 2224041102011. The next prime is 2224041102047. The reversal of 2224041102020 is 202011404222.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2224041101983 and 2224041102001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3118157 + ... + 3764436.

It is an arithmetic number, because the mean of its divisors is an integer number (98861580216).

Almost surely, 22224041102020 is an apocalyptic number.

2224041102020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2224041102020 is an abundant number, since it is smaller than the sum of its proper divisors (2521314748348).

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

2224041102020 is a wasteful number, since it uses less digits than its factorization.

2224041102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6882860 (or 6882858 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 2224041102020 its reverse (202011404222), we get a palindrome (2426052506242).

The spelling of 2224041102020 in words is "two trillion, two hundred twenty-four billion, forty-one million, one hundred two thousand, twenty".

Divisors: 1 2 4 5 10 20 107 151 214 302 428 535 604 755 1070 1510 2140 3020 16157 32314 64628 80785 161570 323140 6882593 13765186 27530372 34412965 68825930 137651860 736437451 1039271543 1472874902 2078543086 2945749804 3682187255 4157086172 5196357715 7364374510 10392715430 14728749020 20785430860 111202055101 222404110202 444808220404 556010275505 1112020551010 2224041102020