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22023202000000 = 275611011601
BaseRepresentation
bin1010000000111101011010…
…01000011100110010000000
32212222101201210222002010011
411000132231020130302000
510341312004203000000
6114501152550314304
74432060322203555
oct500365510346200
985871653862104
1022023202000000
117020a95426933
1225782b1958994
13c39a18711996
14561d0037ca2c
15282d19c752ba
hex1407ad21cc80

22023202000000 has 112 divisors (see below), whose sum is σ = 54842237658810. Its totient is φ = 8809280000000.

The previous prime is 22023201999989. The next prime is 22023202000031. The reversal of 22023202000000 is 20232022.

It can be written as a sum of positive squares in 7 ways, for example, as 18676848875584 + 3346353124416 = 4321672^2 + 1829304^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 3505801 + ... + 7505800.

Almost surely, 222023202000000 is an apocalyptic number.

22023202000000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22023202000000 is an abundant number, since it is smaller than the sum of its proper divisors (32819035658810).

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

22023202000000 is an frugal number, since it uses more digits than its factorization.

22023202000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11011645 (or 11011608 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

Adding to 22023202000000 its reverse (20232022), we get a palindrome (22023222232022).

The spelling of 22023202000000 in words is "twenty-two trillion, twenty-three billion, two hundred two million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3125 3200 4000 5000 6250 8000 10000 12500 15625 16000 20000 25000 31250 40000 50000 62500 80000 100000 125000 200000 250000 400000 500000 1000000 2000000 11011601 22023202 44046404 55058005 88092808 110116010 176185616 220232020 275290025 352371232 440464040 550580050 704742464 880928080 1101160100 1376450125 1409484928 1761856160 2202320200 2752900250 3523712320 4404640400 5505800500 6882250625 7047424640 8809280800 11011601000 13764501250 17618561600 22023202000 27529002500 34411253125 35237123200 44046404000 55058005000 68822506250 88092808000 110116010000 137645012500 172056265625 176185616000 220232020000 275290025000 344112531250 440464040000 550580050000 688225062500 880928080000 1101160100000 1376450125000 2202320200000 2752900250000 4404640400000 5505800500000 11011601000000 22023202000000