Search a number
-
+
221431234022334 = 2337283685273629
BaseRepresentation
bin110010010110001111111010…
…000010111100101110111110
31002001000121201102102002111000
4302112033322002330232332
5213010412131402203314
62102540034331511130
764432610254654200
oct6226177202745676
91061017642362430
10221431234022334
11646115059a5976
1220a02a342b84a6
139672b500b8aab
143c97486760770
151a8ee041ba209
hexc963fa0bcbbe

221431234022334 has 48 divisors (see below), whose sum is σ = 572407271629200. Its totient is φ = 63266066862768.

The previous prime is 221431234022309. The next prime is 221431234022413. The reversal of 221431234022334 is 433220432134122.

221431234022334 is a `hidden beast` number, since 2 + 2 + 1 + 4 + 3 + 12 + 3 + 402 + 233 + 4 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41842634169 + ... + 41842639460.

It is an arithmetic number, because the mean of its divisors is an integer number (11925151492275).

Almost surely, 2221431234022334 is an apocalyptic number.

221431234022334 is an abundant number, since it is smaller than the sum of its proper divisors (350976037606866).

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

221431234022334 is a wasteful number, since it uses less digits than its factorization.

221431234022334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83685273654 (or 83685273641 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 221431234022334 its reverse (433220432134122), we get a palindrome (654651666156456).

The spelling of 221431234022334 in words is "two hundred twenty-one trillion, four hundred thirty-one billion, two hundred thirty-four million, twenty-two thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 147 189 294 378 441 882 1323 2646 83685273629 167370547258 251055820887 502111641774 585796915403 753167462661 1171593830806 1506334925322 1757390746209 2259502387983 3514781492418 4100578407821 4519004775966 5272172238627 8201156815642 10544344477254 12301735223463 15816516715881 24603470446926 31633033431762 36905205670389 73810411340778 110715617011167 221431234022334