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9922815002500 = 22542514
BaseRepresentation
bin1001000001100101010111…
…0111010000011110000100
31022010121112001001010022021
42100121111313100132010
52300033411120040000
633034251150412524
72042620414604131
oct220312567203604
938117461033267
109922815002500
113186273421a94
121143136801144
1356c9432a447a
142643a41a1588
151231adb7411a
hex90655dd0784

9922815002500 has 75 divisors (see below), whose sum is σ = 21786008694835. Its totient is φ = 3953312750000.

The previous prime is 9922815002473. The next prime is 9922815002531. The reversal of 9922815002500 is 52005182299.

The square root of 9922815002500 is 3150050.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 777948696196 + 9144866306304 = 882014^2 + 3024048^2 .

It is an ABA number since it can be written as A⋅BA, here for A=4, B=1255.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 24 ways as a sum of consecutive naturals, for example, 39533127375 + ... + 39533127625.

Almost surely, 29922815002500 is an apocalyptic number.

9922815002500 is the 3150050-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9922815002500

9922815002500 is an abundant number, since it is smaller than the sum of its proper divisors (11863193692335).

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

9922815002500 is an frugal number, since it uses more digits than its factorization.

9922815002500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 43.

The spelling of 9922815002500 in words is "nine trillion, nine hundred twenty-two billion, eight hundred fifteen million, two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 251 500 502 625 1004 1250 1255 2500 2510 5020 6275 12550 25100 31375 62750 63001 125500 126002 156875 252004 313750 315005 627500 630010 1260020 1575025 3150050 6300100 7875125 15750250 15813251 31500500 31626502 39375625 63253004 78751250 79066255 157502500 158132510 316265020 395331275 790662550 1581325100 1976656375 3953312750 3969126001 7906625500 7938252002 9883281875 15876504004 19766563750 19845630005 39533127500 39691260010 79382520020 99228150025 198456300050 396912600100 496140750125 992281500250 1984563000500 2480703750625 4961407501250 9922815002500