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204042220420 = 22565211564501
BaseRepresentation
bin1011111000000111011…
…1010011001110000100
3201111200001102202110211
42332001313103032010
511320334302023140
6233422524525204
720512233154123
oct2760167231604
9644601382424
10204042220420
1179596572235
12336653b0804
1316319903c8c
149c38ca5aba
1554932892ea
hex2f81dd3384

204042220420 has 24 divisors (see below), whose sum is σ = 428554645848. Its totient is φ = 81604320000.

The previous prime is 204042220411. The next prime is 204042220451. The reversal of 204042220420 is 24022240402.

It is a happy number.

204042220420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 21111508804 + 182930711616 = 145298^2 + 427704^2 .

It is a junction number, because it is equal to n+sod(n) for n = 204042220391 and 204042220400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 651831 + ... + 912670.

It is an arithmetic number, because the mean of its divisors is an integer number (17856443577).

Almost surely, 2204042220420 is an apocalyptic number.

204042220420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204042220420 is an abundant number, since it is smaller than the sum of its proper divisors (224512425428).

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

204042220420 is a wasteful number, since it uses less digits than its factorization.

204042220420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1571031 (or 1571029 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 204042220420 its reverse (24022240402), we get a palindrome (228064460822).

The spelling of 204042220420 in words is "two hundred four billion, forty-two million, two hundred twenty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 6521 13042 26084 32605 65210 130420 1564501 3129002 6258004 7822505 15645010 31290020 10202111021 20404222042 40808444084 51010555105 102021110210 204042220420