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2442025300 = 22521113389439
BaseRepresentation
bin1001000110001110…
…0101100101010100
320022012002201221111
42101203211211110
520000124302200
61042153024404
7114341605201
oct22143454524
96265081844
102442025300
111043506830
125819b5104
132cbc112b0
1419247cca8
15e45c80ba
hex918e5954

2442025300 has 144 divisors (see below), whose sum is σ = 6255849600. Its totient is φ = 815731200.

The previous prime is 2442025283. The next prime is 2442025307. The reversal of 2442025300 is 35202442.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2442025307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5562481 + ... + 5562919.

It is an arithmetic number, because the mean of its divisors is an integer number (43443400).

Almost surely, 22442025300 is an apocalyptic number.

2442025300 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 2442025300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3127924800).

2442025300 is an abundant number, since it is smaller than the sum of its proper divisors (3813824300).

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

2442025300 is a wasteful number, since it uses less digits than its factorization.

2442025300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 2442025300 is about 49416.8523886336. The cubic root of 2442025300 is about 1346.6354809572.

Adding to 2442025300 its reverse (35202442), we get a palindrome (2477227742).

The spelling of 2442025300 in words is "two billion, four hundred forty-two million, twenty-five thousand, three hundred".

Divisors: 1 2 4 5 10 11 13 20 22 25 26 44 50 52 55 65 100 110 130 143 220 260 275 286 325 389 439 550 572 650 715 778 878 1100 1300 1430 1556 1756 1945 2195 2860 3575 3890 4279 4390 4829 5057 5707 7150 7780 8558 8780 9658 9725 10114 10975 11414 14300 17116 19316 19450 20228 21395 21950 22828 24145 25285 28535 38900 42790 43900 48290 50570 55627 57070 62777 85580 96580 101140 106975 111254 114140 120725 125554 126425 142675 170771 213950 222508 241450 251108 252850 278135 285350 313885 341542 427900 482900 505700 556270 570700 627770 683084 853855 1112540 1255540 1390675 1569425 1707710 1878481 2220023 2781350 3138850 3415420 3756962 4269275 4440046 5562700 6277700 7513924 8538550 8880092 9392405 11100115 17077100 18784810 22200230 24420253 37569620 44400460 46962025 48840506 55500575 93924050 97681012 111001150 122101265 187848100 222002300 244202530 488405060 610506325 1221012650 2442025300