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202243050020 = 225117334936083
BaseRepresentation
bin1011110001011010100…
…0000000101000100100
3201100000122222102200002
42330112220000220210
511303143210100040
6232524214240432
720416525363304
oct2742650005044
9640018872602
10202243050020
1178852a24950
1233242956118
13160c0c446cb
149b07d67604
1553da346a15
hex2f16a00a24

202243050020 has 96 divisors (see below), whose sum is σ = 471026102400. Its totient is φ = 72325647360.

The previous prime is 202243049993. The next prime is 202243050049. The reversal of 202243050020 is 20050342202.

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 = 202243049974 and 202243050001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5586899 + ... + 5622981.

It is an arithmetic number, because the mean of its divisors is an integer number (4906521900).

Almost surely, 2202243050020 is an apocalyptic number.

202243050020 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 202243050020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235513051200).

202243050020 is an abundant number, since it is smaller than the sum of its proper divisors (268783052380).

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

202243050020 is a wasteful number, since it uses less digits than its factorization.

202243050020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36525 (or 36523 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

Adding to 202243050020 its reverse (20050342202), we get a palindrome (222293392222).

The spelling of 202243050020 in words is "two hundred two billion, two hundred forty-three million, fifty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 73 110 146 220 292 349 365 698 730 803 1396 1460 1606 1745 3212 3490 3839 4015 6980 7678 8030 15356 16060 19195 25477 36083 38390 50954 72166 76780 101908 127385 144332 180415 254770 280247 360830 396913 509540 560494 721660 793826 1120988 1401235 1587652 1984565 2634059 2802470 3969130 5268118 5604940 7938260 10536236 12592967 13170295 25185934 26340590 28974649 50371868 52681180 57949298 62964835 115898596 125929670 138522637 144873245 251859340 277045274 289746490 554090548 579492980 692613185 919286591 1385226370 1838573182 2770452740 3677146364 4596432955 9192865910 10112152501 18385731820 20224305002 40448610004 50560762505 101121525010 202243050020