Search a number
-
+
221431234120304 = 24131986364924879
BaseRepresentation
bin110010010110001111111010…
…000011010100101001110000
31002001000121201102121001212112
4302112033322003110221300
5213010412131413322204
62102540034333544452
764432610255542625
oct6226177203245160
91061017642531775
10221431234120304
1164611505a6253a
1220a02a34345128
139672b50121570
143c9748678834c
151a8ee041d926e
hexc963fa0d4a70

221431234120304 has 80 divisors (see below), whose sum is σ = 486905436057600. Its totient is φ = 96707943076608.

The previous prime is 221431234120301. The next prime is 221431234120367. The reversal of 221431234120304 is 403021432134122.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221431234120301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29051864 + ... + 35873015.

It is an arithmetic number, because the mean of its divisors is an integer number (6086317950720).

Almost surely, 2221431234120304 is an apocalyptic number.

It is an amenable number.

221431234120304 is an abundant number, since it is smaller than the sum of its proper divisors (265474201937296).

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

221431234120304 is a wasteful number, since it uses less digits than its factorization.

221431234120304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64925782 (or 64925776 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 221431234120304 its reverse (403021432134122), we get a palindrome (624452666254426).

The spelling of 221431234120304 in words is "two hundred twenty-one trillion, four hundred thirty-one billion, two hundred thirty-four million, one hundred twenty thousand, three hundred four".

Divisors: 1 2 4 8 13 16 19 26 38 52 76 104 152 208 247 304 494 863 988 1726 1976 3452 3952 6904 11219 13808 16397 22438 32794 44876 65588 89752 131176 179504 213161 262352 426322 852644 1705288 3410576 64924879 129849758 259699516 519399032 844023427 1038798064 1233572701 1688046854 2467145402 3376093708 4934290804 6752187416 9868581608 13504374832 16036445113 19737163216 32072890226 56030170577 64145780452 112060341154 128291560904 224120682308 256583121808 448241364616 728392217501 896482729232 1064573240963 1456784435002 2129146481926 2913568870004 4258292963852 5827137740008 8516585927704 11654275480016 13839452132519 17033171855408 27678904265038 55357808530076 110715617060152 221431234120304