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2442030300 = 22325223911353
BaseRepresentation
bin1001000110001110…
…0110110011011100
320022012002222210200
42101203212303130
520000124432200
61042153103500
7114341625603
oct22143466334
96265088720
102442030300
11104350a566
125819b7b90
132cbc13658
14192480a3a
15e45c9800
hex918e6cdc

2442030300 has 108 divisors (see below), whose sum is σ = 7687112160. Its totient is φ = 648426240.

The previous prime is 2442030259. The next prime is 2442030317. The reversal of 2442030300 is 30302442.

2442030300 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×24420303002 = 11927023972236180000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 209424 + ... + 220776.

Almost surely, 22442030300 is an apocalyptic number.

2442030300 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 2442030300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3843556080).

2442030300 is an abundant number, since it is smaller than the sum of its proper divisors (5245081860).

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

2442030300 is a wasteful number, since it uses less digits than its factorization.

2442030300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11612 (or 11602 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 2442030300 is about 49416.9029786368. The cubic root of 2442030300 is about 1346.6364000267.

Adding to 2442030300 its reverse (30302442), we get a palindrome (2472332742).

The spelling of 2442030300 in words is "two billion, four hundred forty-two million, thirty thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 239 300 450 478 717 900 956 1195 1434 2151 2390 2868 3585 4302 4780 5975 7170 8604 10755 11353 11950 14340 17925 21510 22706 23900 34059 35850 43020 45412 53775 56765 68118 71700 102177 107550 113530 136236 170295 204354 215100 227060 283825 340590 408708 510885 567650 681180 851475 1021770 1135300 1702950 2043540 2554425 2713367 3405900 5108850 5426734 8140101 10217700 10853468 13566835 16280202 24420303 27133670 32560404 40700505 48840606 54267340 67834175 81401010 97681212 122101515 135668350 162802020 203502525 244203030 271336700 407005050 488406060 610507575 814010100 1221015150 2442030300