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242220200020 = 225172192205611
BaseRepresentation
bin1110000110010101110…
…0101111000001010100
3212011012202001001212021
43201211130233001110
512432031332400040
6303135135302524
723333304505111
oct3414534570124
9764182031767
10242220200020
11937a7a96397
123ab3b07aa44
1319ac2356556
14ba1b4a7908
156479d1824a
hex386572f054

242220200020 has 72 divisors (see below), whose sum is σ = 568783222560. Its totient is φ = 86389332480.

The previous prime is 242220199993. The next prime is 242220200059. The reversal of 242220200020 is 20002022242.

242220200020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 242220199967 and 242220200003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 992986 + ... + 1212625.

It is an arithmetic number, because the mean of its divisors is an integer number (7899766980).

Almost surely, 2242220200020 is an apocalyptic number.

242220200020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242220200020 is an abundant number, since it is smaller than the sum of its proper divisors (326563022540).

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

242220200020 is a wasteful number, since it uses less digits than its factorization.

242220200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2205673 (or 2205654 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 242220200020 its reverse (20002022242), we get a palindrome (262222222262).

The spelling of 242220200020 in words is "two hundred forty-two billion, two hundred twenty million, two hundred thousand, twenty".

Divisors: 1 2 4 5 10 17 19 20 34 38 68 76 85 95 170 190 289 323 340 380 578 646 1156 1292 1445 1615 2890 3230 5491 5780 6460 10982 21964 27455 54910 109820 2205611 4411222 8822444 11028055 22056110 37495387 41906609 44112220 74990774 83813218 149981548 167626436 187476935 209533045 374953870 419066090 637421579 712412353 749907740 838132180 1274843158 1424824706 2549686316 2849649412 3187107895 3562061765 6374215790 7124123530 12111010001 12748431580 14248247060 24222020002 48444040004 60555050005 121110100010 242220200020