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2042200104 = 2337192151223
BaseRepresentation
bin111100110111001…
…1000000000101000
312021022202111212220
41321232120000220
513140300400404
6534351234040
7101415262110
oct17156300050
95238674786
102042200104
1195885018a
1248bb18920
13267131439
14155322040
15be44b4d9
hex79b98028

2042200104 has 192 divisors, whose sum is σ = 6226698240. Its totient is φ = 546652800.

The previous prime is 2042200087. The next prime is 2042200183. The reversal of 2042200104 is 4010022402.

It is a super-2 number, since 2×20422001042 = 8341162529555221632, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 9157737 + ... + 9157959.

It is an arithmetic number, because the mean of its divisors is an integer number (32430720).

Almost surely, 22042200104 is an apocalyptic number.

2042200104 is a gapful number since it is divisible by the number (24) 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 2042200104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3113349120).

2042200104 is an abundant number, since it is smaller than the sum of its proper divisors (4184498136).

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

2042200104 is a wasteful number, since it uses less digits than its factorization.

2042200104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 2042200104 is about 45190.7081599747. The cubic root of 2042200104 is about 1268.7209111274.

Adding to 2042200104 its reverse (4010022402), we get a palindrome (6052222506).

The spelling of 2042200104 in words is "two billion, forty-two million, two hundred thousand, one hundred four".