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404222044420 = 225269222133829
BaseRepresentation
bin1011110000111011000…
…00101110100100000100
31102122100221002110010101
411320131200232210010
523110321320410140
6505410321133444
741126666454265
oct5703540564404
91378327073111
10404222044420
1114647a895907
126641118a284
132c16c264b8c
14157c8bd696c
15a7ac3ce99a
hex5e1d82e904

404222044420 has 48 divisors (see below), whose sum is σ = 852430748400. Its totient is φ = 161010455040.

The previous prime is 404222044399. The next prime is 404222044433. The reversal of 404222044420 is 24440222404.

It can be written as a sum of positive squares in 8 ways, for example, as 6331066624 + 397890977796 = 79568^2 + 630786^2 .

It is a super-2 number, since 2×4042220444202 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11932066 + ... + 11965894.

It is an arithmetic number, because the mean of its divisors is an integer number (17758973925).

Almost surely, 2404222044420 is an apocalyptic number.

It is an amenable number.

404222044420 is an abundant number, since it is smaller than the sum of its proper divisors (448208703980).

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

404222044420 is a wasteful number, since it uses less digits than its factorization.

404222044420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36328 (or 36326 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 404222044420 its reverse (24440222404), we get a palindrome (428662266824).

The spelling of 404222044420 in words is "four hundred four billion, two hundred twenty-two million, forty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 269 538 1076 1345 2221 2690 4442 5380 8884 11105 22210 33829 44420 67658 135316 169145 338290 597449 676580 1194898 2389796 2987245 5974490 9100001 11948980 18200002 36400004 45500005 75134209 91000010 150268418 182000020 300536836 375671045 751342090 1502684180 20211102221 40422204442 80844408884 101055511105 202111022210 404222044420