Search a number
-
+
202221200000220 = 223513924247146283
BaseRepresentation
bin101101111110101101001010…
…110010101100010011011100
3222112000011021010022012010020
4231332231022302230103130
5203001143004200001340
61554031045314112140
760410666564642442
oct5576551262542334
9875004233265106
10202221200000220
1159485590560275
121a81b9a687b650
1388ab4ba01163b
1437d17b5daab92
15185a3867979d0
hexb7eb4acac4dc

202221200000220 has 48 divisors (see below), whose sum is σ = 570292880599680. Its totient is φ = 53537698990656.

The previous prime is 202221200000173. The next prime is 202221200000221. The reversal of 202221200000220 is 22000002122202.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 202221200000220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202221200000221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12123564802 + ... + 12123581481.

It is an arithmetic number, because the mean of its divisors is an integer number (11881101679160).

Almost surely, 2202221200000220 is an apocalyptic number.

202221200000220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202221200000220 is an abundant number, since it is smaller than the sum of its proper divisors (368071680599460).

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

202221200000220 is a wasteful number, since it uses less digits than its factorization.

202221200000220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24247146434 (or 24247146432 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 202221200000220 its reverse (22000002122202), we get a palindrome (224221202122422).

The spelling of 202221200000220 in words is "two hundred two trillion, two hundred twenty-one billion, two hundred million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 139 278 417 556 695 834 1390 1668 2085 2780 4170 8340 24247146283 48494292566 72741438849 96988585132 121235731415 145482877698 242471462830 290965755396 363707194245 484942925660 727414388490 1454828776980 3370353333337 6740706666674 10111060000011 13481413333348 16851766666685 20222120000022 33703533333370 40444240000044 50555300000055 67407066666740 101110600000110 202221200000220