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2042040220 = 22511291013169
BaseRepresentation
bin111100110110111…
…0000111110011100
312021022110101120021
41321231300332130
513140230241340
6534344001524
7101414025013
oct17155607634
95238411507
102042040220
11958751050
1248ba602a4
132670a672c
141552bda7a
15be418e4a
hex79b70f9c

2042040220 has 96 divisors (see below), whose sum is σ = 4888900800. Its totient is φ = 709632000.

The previous prime is 2042040197. The next prime is 2042040241. The reversal of 2042040220 is 220402402.

It is a junction number, because it is equal to n+sod(n) for n = 2042040194 and 2042040203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 642796 + ... + 645964.

It is an arithmetic number, because the mean of its divisors is an integer number (50926050).

Almost surely, 22042040220 is an apocalyptic number.

2042040220 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 2042040220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2444450400).

2042040220 is an abundant number, since it is smaller than the sum of its proper divisors (2846860580).

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

2042040220 is a wasteful number, since it uses less digits than its factorization.

2042040220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3319 (or 3317 counting only the distinct ones).

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

The square root of 2042040220 is about 45188.9391333764. The cubic root of 2042040220 is about 1268.6878008448.

Adding to 2042040220 its reverse (220402402), we get a palindrome (2262442622).

The spelling of 2042040220 in words is "two billion, forty-two million, forty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 101 110 116 145 202 220 290 319 404 505 580 638 1010 1111 1276 1595 2020 2222 2929 3169 3190 4444 5555 5858 6338 6380 11110 11716 12676 14645 15845 22220 29290 31690 32219 34859 58580 63380 64438 69718 91901 128876 139436 161095 174295 183802 320069 322190 348590 367604 459505 640138 644380 697180 919010 1010911 1280276 1600345 1838020 2021822 3200690 3520759 4043644 5054555 6401380 7041518 9282001 10109110 14083036 17603795 18564002 20218220 35207590 37128004 46410005 70415180 92820010 102102011 185640020 204204022 408408044 510510055 1021020110 2042040220