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220342311231500 = 22531972339600763
BaseRepresentation
bin110010000110011001110001…
…001100001010000000001100
31001220011112000112001212001102
4302012121301030022000030
5212340042023133402000
62100343505501202232
764261130610653123
oct6206316114120014
91056145015055042
10220342311231500
11642317164180a7
1220867996260378
1395c426322c173
143c5a8a6504aba
151a71920e5a3d5
hexc8667130a00c

220342311231500 has 96 divisors (see below), whose sum is σ = 485746276631616. Its totient is φ = 87313169932800.

The previous prime is 220342311231499. The next prime is 220342311231607. The reversal of 220342311231500 is 5132113243022.

It is a super-2 number, since 2×2203423112315002 (a number of 29 digits) contains 22 as substring.

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, 18150119 + ... + 27750881.

It is an arithmetic number, because the mean of its divisors is an integer number (5059857048246).

Almost surely, 2220342311231500 is an apocalyptic number.

220342311231500 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 220342311231500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242873138315808).

220342311231500 is an abundant number, since it is smaller than the sum of its proper divisors (265403965400116).

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

220342311231500 is a wasteful number, since it uses less digits than its factorization.

220342311231500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9601212 (or 9601200 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

Adding to 220342311231500 its reverse (5132113243022), we get a palindrome (225474424474522).

The spelling of 220342311231500 in words is "two hundred twenty trillion, three hundred forty-two billion, three hundred eleven million, two hundred thirty-one thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 197 233 250 394 466 500 788 932 985 1165 1970 2330 3940 4660 4925 5825 9850 11650 19700 23300 24625 29125 45901 49250 58250 91802 98500 116500 183604 229505 459010 918020 1147525 2295050 4590100 5737625 9600763 11475250 19201526 22950500 38403052 48003815 96007630 192015260 240019075 480038150 960076300 1200095375 1891350311 2236977779 2400190750 3782700622 4473955558 4800381500 7565401244 8947911116 9456751555 11184888895 18913503110 22369777790 37827006220 44739555580 47283757775 55924444475 94567515550 111848888950 189135031100 223697777900 236418788875 279622222375 440684622463 472837577750 559244444750 881369244926 945675155500 1118488889500 1762738489852 2203423112315 4406846224630 8813692449260 11017115561575 22034231123150 44068462246300 55085577807875 110171155615750 220342311231500