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202441212220 = 2251334910692087
BaseRepresentation
bin1011110010001001101…
…1111100000100111100
3201100112110212010002211
42330202123330010330
511304044422242340
6233000013430204
720424452624542
oct2744233740474
9640473763084
10202441212220
1178944872065
123329919b364
1316123007350
149b263cbd92
1553ec93b5ea
hex2f226fc13c

202441212220 has 96 divisors (see below), whose sum is σ = 459790128000. Its totient is φ = 74427945984.

The previous prime is 202441212203. The next prime is 202441212223. The reversal of 202441212220 is 22212144202.

It is a junction number, because it is equal to n+sod(n) for n = 202441212191 and 202441212200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202441212223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97000017 + ... + 97002103.

It is an arithmetic number, because the mean of its divisors is an integer number (4789480500).

Almost surely, 2202441212220 is an apocalyptic number.

202441212220 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 202441212220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229895064000).

202441212220 is an abundant number, since it is smaller than the sum of its proper divisors (257348915780).

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

202441212220 is a wasteful number, since it uses less digits than its factorization.

202441212220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3527 (or 3525 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 202441212220 its reverse (22212144202), we get a palindrome (224653356422).

The spelling of 202441212220 in words is "two hundred two billion, four hundred forty-one million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 349 698 1069 1396 1745 2087 2138 3490 4174 4276 4537 5345 6980 8348 9074 10435 10690 13897 18148 20870 21380 22685 27131 27794 41740 45370 54262 55588 69485 90740 108524 135655 138970 271310 277940 373081 542620 728363 746162 1456726 1492324 1865405 2231003 2913452 3641815 3730810 4462006 4850053 7283630 7461620 8924012 9468719 9700106 11155015 14567260 18937438 19400212 22310030 24250265 29003039 37874876 44620060 47343595 48500530 58006078 94687190 97001060 116012156 145015195 189374380 290030390 580060780 778620047 1557240094 3114480188 3893100235 7786200470 10122060611 15572400940 20244121222 40488242444 50610303055 101220606110 202441212220