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2042200000 = 265510211
BaseRepresentation
bin111100110111001…
…0111111111000000
312021022202111202001
41321232113333000
513140300400000
6534351233344
7101415261601
oct17156277700
95238674661
102042200000
119588500a5
1248bb18854
13267131389
14155321da8
15be44b46a
hex79b97fc0

2042200000 has 84 divisors (see below), whose sum is σ = 5065785144. Its totient is φ = 816800000.

The previous prime is 2042199983. The next prime is 2042200001. The reversal of 2042200000 is 22402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 2042200000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042200001) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 194895 + ... + 205105.

It is an arithmetic number, because the mean of its divisors is an integer number (60306966).

Almost surely, 22042200000 is an apocalyptic number.

2042200000 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 2042200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2532892572).

2042200000 is an abundant number, since it is smaller than the sum of its proper divisors (3023585144).

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

2042200000 is an frugal number, since it uses more digits than its factorization.

2042200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10248 (or 10218 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 2042200000 is about 45190.7070092956. The cubic root of 2042200000 is about 1268.7208895907.

Adding to 2042200000 its reverse (22402), we get a palindrome (2042222402).

The spelling of 2042200000 in words is "two billion, forty-two million, two hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 3125 4000 5000 6250 8000 10000 10211 12500 20000 20422 25000 40000 40844 50000 51055 81688 100000 102110 163376 200000 204220 255275 326752 408440 510550 653504 816880 1021100 1276375 1633760 2042200 2552750 3267520 4084400 5105500 6381875 8168800 10211000 12763750 16337600 20422000 25527500 31909375 40844000 51055000 63818750 81688000 102110000 127637500 204220000 255275000 408440000 510550000 1021100000 2042200000