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202202220220020 = 2235541605395107
BaseRepresentation
bin101101111110011011011111…
…100000100100111001110100
3222111221100021101111110100000
4231332123133200210321310
5203000340121334020040
61554014230111351300
760406425341322336
oct5576333740447164
9874840241443300
10202202220220020
1159478530a05509
121a81818a522530
1388a9783b03377
1437d08d53b7456
151859b253a4130
hexb7e6df824e74

202202220220020 has 72 divisors (see below), whose sum is σ = 636063280411104. Its totient is φ = 53920592057376.

The previous prime is 202202220219971. The next prime is 202202220220027. The reversal of 202202220220020 is 20022022202202.

202202220220020 is a `hidden beast` number, since 2 + 0 + 2 + 202 + 220 + 220 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 202202220219975 and 202202220220002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202202220220027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20802692694 + ... + 20802702413.

It is an arithmetic number, because the mean of its divisors is an integer number (8834212227932).

Almost surely, 2202202220220020 is an apocalyptic number.

202202220220020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202202220220020 is an abundant number, since it is smaller than the sum of its proper divisors (433861060191084).

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

202202220220020 is a wasteful number, since it uses less digits than its factorization.

202202220220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41605395131 (or 41605395117 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 202202220220020 its reverse (20022022202202), we get a palindrome (222224242422222).

The spelling of 202202220220020 in words is "two hundred two trillion, two hundred two billion, two hundred twenty million, two hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1215 1620 2430 4860 41605395107 83210790214 124816185321 166421580428 208026975535 249632370642 374448555963 416053951070 499264741284 624080926605 748897111926 832107902140 1123345667889 1248161853210 1497794223852 1872242779815 2246691335778 2496323706420 3370037003667 3744485559630 4493382671556 5616728339445 6740074007334 7488971119260 10110111011001 11233456678890 13480148014668 16850185018335 20220222022002 22466913357780 33700370036670 40440444044004 50550555055005 67400740073340 101101110110010 202202220220020