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2442020020 = 2251167165673
BaseRepresentation
bin1001000110001110…
…0100010010110100
320022012002110200221
42101203210102310
520000124120040
61042152544124
7114341553616
oct22143442264
96265073627
102442020020
111043502870
125819b2044
132cbc0ba7b
1419247adb6
15e45c674a
hex918e44b4

2442020020 has 48 divisors (see below), whose sum is σ = 5677979328. Its totient is φ = 874748160.

The previous prime is 2442019999. The next prime is 2442020033. The reversal of 2442020020 is 200202442.

It is a junction number, because it is equal to n+sod(n) for n = 2442019976 and 2442020003.

It is a congruent number.

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, 68097 + ... + 97576.

It is an arithmetic number, because the mean of its divisors is an integer number (118291236).

Almost surely, 22442020020 is an apocalyptic number.

2442020020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2442020020 is an abundant number, since it is smaller than the sum of its proper divisors (3235959308).

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

2442020020 is a wasteful number, since it uses less digits than its factorization.

2442020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165760 (or 165758 counting only the distinct ones).

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

The square root of 2442020020 is about 49416.7989655340. The cubic root of 2442020020 is about 1346.6345104184.

Adding to 2442020020 its reverse (200202442), we get a palindrome (2642222462).

The spelling of 2442020020 in words is "two billion, four hundred forty-two million, twenty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 67 110 134 220 268 335 670 737 1340 1474 2948 3685 7370 14740 165673 331346 662692 828365 1656730 1822403 3313460 3644806 7289612 9112015 11100091 18224030 22200182 36448060 44400364 55500455 111000910 122101001 222001820 244202002 488404004 610505005 1221010010 2442020020