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202224222020 = 225101100111001
BaseRepresentation
bin1011110001010110000…
…0001011111101000100
3201022222100112212111202
42330111200023331010
511303123400101040
6232522302522032
720416206345212
oct2742540137504
9638870485452
10202224222020
1178843335117
1233238596318
13160ba081892
149b05665cb2
1553d8878015
hex2f1580bf44

202224222020 has 24 divisors (see below), whose sum is σ = 428875532568. Its totient is φ = 80088800000.

The previous prime is 202224222019. The next prime is 202224222029. The reversal of 202224222020 is 20222422202.

It can be written as a sum of positive squares in 4 ways, for example, as 44977078084 + 157247143936 = 212078^2 + 396544^2 .

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 = 202224221983 and 202224222001.

It is not an unprimeable number, because it can be changed into a prime (202224222029) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50053481 + ... + 50057520.

It is an arithmetic number, because the mean of its divisors is an integer number (17869813857).

Almost surely, 2202224222020 is an apocalyptic number.

202224222020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202224222020 is an abundant number, since it is smaller than the sum of its proper divisors (226651310548).

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

202224222020 is a wasteful number, since it uses less digits than its factorization.

202224222020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100111111 (or 100111109 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

202224222020 divided by its sum of digits (20) gives a palindrome (10111211101).

Adding to 202224222020 its reverse (20222422202), we get a palindrome (222446644222).

The spelling of 202224222020 in words is "two hundred two billion, two hundred twenty-four million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 101 202 404 505 1010 2020 100111001 200222002 400444004 500555005 1001110010 2002220020 10111211101 20222422202 40444844404 50556055505 101112111010 202224222020