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2442306200 = 235227145061
BaseRepresentation
bin1001000110010010…
…1010001010011000
320022012122000021012
42101210222022120
520000212244300
61042203033052
7114344155145
oct22144521230
96265560235
102442306200
111043688884
12581b0b788
132cbcac0c9
141925133cc
15e4631435
hex9192a298

2442306200 has 48 divisors (see below), whose sum is σ = 5699441760. Its totient is φ = 973296000.

The previous prime is 2442306199. The next prime is 2442306203. The reversal of 2442306200 is 26032442.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2442306203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31670 + ... + 76730.

It is an arithmetic number, because the mean of its divisors is an integer number (118738370).

Almost surely, 22442306200 is an apocalyptic number.

2442306200 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 2442306200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2849720880).

2442306200 is an abundant number, since it is smaller than the sum of its proper divisors (3257135560).

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

2442306200 is a wasteful number, since it uses less digits than its factorization.

2442306200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45348 (or 45339 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 2442306200 is about 49419.6944547414. The cubic root of 2442306200 is about 1346.6871123365.

Adding to 2442306200 its reverse (26032442), we get a palindrome (2468338642).

The spelling of 2442306200 in words is "two billion, four hundred forty-two million, three hundred six thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 271 542 1084 1355 2168 2710 5420 6775 10840 13550 27100 45061 54200 90122 180244 225305 360488 450610 901220 1126525 1802440 2253050 4506100 9012200 12211531 24423062 48846124 61057655 97692248 122115310 244230620 305288275 488461240 610576550 1221153100 2442306200