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202400444420 = 22510120022221
BaseRepresentation
bin1011110010000000000…
…0011011000000000100
3201100102122010220012022
42330200000123000010
511304004003210140
6232551555542312
720423446251146
oct2744000330004
9640378126168
10202400444420
1178923857669
12332875ba998
13161177321a5
149b20c18c96
1553e90870b5
hex2f2001b004

202400444420 has 12 divisors (see below), whose sum is σ = 425040933324. Its totient is φ = 80960177760.

The previous prime is 202400444369. The next prime is 202400444423. The reversal of 202400444420 is 24444004202.

It can be written as a sum of positive squares in 2 ways, for example, as 21416566336 + 180983878084 = 146344^2 + 425422^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 202400444420.

It is not an unprimeable number, because it can be changed into a prime (202400444423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5060011091 + ... + 5060011130.

It is an arithmetic number, because the mean of its divisors is an integer number (35420077777).

Almost surely, 2202400444420 is an apocalyptic number.

202400444420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202400444420 is an abundant number, since it is smaller than the sum of its proper divisors (222640488904).

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

202400444420 is a wasteful number, since it uses less digits than its factorization.

202400444420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10120022230 (or 10120022228 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

Adding to 202400444420 its reverse (24444004202), we get a palindrome (226844448622).

The spelling of 202400444420 in words is "two hundred two billion, four hundred million, four hundred forty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 10120022221 20240044442 40480088884 50600111105 101200222210 202400444420