Search a number
-
+
202022221000000 = 2656202022221
BaseRepresentation
bin101101111011110011110110…
…101110000010110101000000
3222111022010122221012200000111
4231323303312232002311000
5202434413002034000000
61553355421015401104
760360423652231252
oct5573636656026500
9874263587180014
10202022221000000
1159409163056345
121a7a9315083194
1388957c93a2b5b
1437c5cdb741cd2
1518550dcca1cba
hexb7bcf6b82d40

202022221000000 has 98 divisors (see below), whose sum is σ = 501103394271014. Its totient is φ = 80808888000000.

The previous prime is 202022220999919. The next prime is 202022221000007. The reversal of 202022221000000 is 122220202.

It can be written as a sum of positive squares in 7 ways, for example, as 181427106982144 + 20595114017856 = 13469488^2 + 4538184^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202022221000007) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 100011111 + ... + 102011110.

Almost surely, 2202022221000000 is an apocalyptic number.

202022221000000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202022221000000 is an abundant number, since it is smaller than the sum of its proper divisors (299081173271014).

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

202022221000000 is an frugal number, since it uses more digits than its factorization.

202022221000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202022263 (or 202022228 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 202022221000000 its reverse (122220202), we get a palindrome (202022343220202).

The spelling of 202022221000000 in words is "two hundred two trillion, twenty-two billion, two hundred twenty-one million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 3125 4000 5000 6250 8000 10000 12500 15625 20000 25000 31250 40000 50000 62500 100000 125000 200000 250000 500000 1000000 202022221 404044442 808088884 1010111105 1616177768 2020222210 3232355536 4040444420 5050555525 6464711072 8080888840 10101111050 12929422144 16161777680 20202222100 25252777625 32323555360 40404444200 50505555250 64647110720 80808888400 101011110500 126263888125 161617776800 202022221000 252527776250 323235553600 404044442000 505055552500 631319440625 808088884000 1010111105000 1262638881250 1616177768000 2020222210000 2525277762500 3156597203125 4040444420000 5050555525000 6313194406250 8080888840000 10101111050000 12626388812500 20202222100000 25252777625000 40404444200000 50505555250000 101011110500000 202022221000000