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5012221600 = 255224125997
BaseRepresentation
bin1001010101100000…
…00110111010100000
3110221022101020110001
410222300012322200
540231112042400
62145205145344
7235131115651
oct45260067240
913838336401
105012221600
1121422a5301
12b7a6bb254
1361b54a6c9
14357963528
151e506ca6a
hex12ac06ea0

5012221600 has 72 divisors (see below), whose sum is σ = 12287330748. Its totient is φ = 1996492800.

The previous prime is 5012221589. The next prime is 5012221661. The reversal of 5012221600 is 61222105.

It can be written as a sum of positive squares in 6 ways, for example, as 1351003536 + 3661218064 = 36756^2 + 60508^2 .

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 11 ways as a sum of consecutive naturals, for example, 179802 + ... + 205798.

Almost surely, 25012221600 is an apocalyptic number.

5012221600 is a gapful number since it is divisible by the number (50) 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 5012221600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6143665374).

5012221600 is an abundant number, since it is smaller than the sum of its proper divisors (7275109148).

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

5012221600 is a wasteful number, since it uses less digits than its factorization.

5012221600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26258 (or 26245 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 5012221600 is about 70797.0451360789. The cubic root of 5012221600 is about 1711.3680558406.

Adding to 5012221600 its reverse (61222105), we get a palindrome (5073443705).

The spelling of 5012221600 in words is "five billion, twelve million, two hundred twenty-one thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 241 400 482 800 964 1205 1928 2410 3856 4820 6025 7712 9640 12050 19280 24100 25997 38560 48200 51994 96400 103988 129985 192800 207976 259970 415952 519940 649925 831904 1039880 1299850 2079760 2599700 4159520 5199400 6265277 10398800 12530554 20797600 25061108 31326385 50122216 62652770 100244432 125305540 156631925 200488864 250611080 313263850 501222160 626527700 1002444320 1253055400 2506110800 5012221600