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204424020020 = 2251110710318423
BaseRepresentation
bin1011111001100010011…
…1110000000000110100
3201112122122212012001202
42332120213300000310
511322130022120040
6233524444112032
720524550333363
oct2763047600064
9645578765052
10204424020020
11797720369a0
1233751235618
131637aa422bc
149c7388d7da
1554b6a55015
hex2f989f0034

204424020020 has 96 divisors (see below), whose sum is σ = 473208293376. Its totient is φ = 73561116800.

The previous prime is 204424020013. The next prime is 204424020091. The reversal of 204424020020 is 20020424402.

It is a super-2 number, since 2×2044240200202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 204424019974 and 204424020001.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 24265529 + ... + 24273951.

It is an arithmetic number, because the mean of its divisors is an integer number (4929253056).

Almost surely, 2204424020020 is an apocalyptic number.

204424020020 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 204424020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236604146688).

204424020020 is an abundant number, since it is smaller than the sum of its proper divisors (268784273356).

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

204424020020 is a wasteful number, since it uses less digits than its factorization.

204424020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9581 (or 9579 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 204424020020 its reverse (20020424402), we get a palindrome (224444444422).

The spelling of 204424020020 in words is "two hundred four billion, four hundred twenty-four million, twenty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 107 110 214 220 428 535 1031 1070 1177 2062 2140 2354 4124 4708 5155 5885 8423 10310 11341 11770 16846 20620 22682 23540 33692 42115 45364 56705 84230 92653 110317 113410 168460 185306 220634 226820 370612 441268 463265 551585 901261 926530 1103170 1213487 1802522 1853060 2206340 2426974 3605044 4506305 4853948 6067435 8684113 9012610 9913871 12134870 17368226 18025220 19827742 24269740 34736452 39655484 43420565 49569355 86841130 95525243 99138710 173682260 191050486 198277420 382100972 477626215 929200091 955252430 1858400182 1910504860 3716800364 4646000455 9292000910 10221201001 18584001820 20442402002 40884804004 51106005005 102212010010 204424020020