Search a number
-
+
22308572873808 = 24321311916972689
BaseRepresentation
bin1010001001010000111101…
…00011111100010001010000
32220222200022210121111101200
411010220132203330101100
510411000424123430213
6115240230014431200
74461512142462444
oct504503643742120
986880283544350
1022308572873808
1171210158930a1
122603673b02500
13c5a8c67a87b0
14571a5263c824
1528a46ce7d273
hex144a1e8fc450

22308572873808 has 60 divisors (see below), whose sum is σ = 67235559916980. Its totient is φ = 6864176268288.

The previous prime is 22308572873767. The next prime is 22308572873891. The reversal of 22308572873808 is 80837827580322.

It is a happy number.

22308572873808 is a `hidden beast` number, since 2 + 2 + 30 + 85 + 72 + 87 + 380 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15248775081024 + 7059797792784 = 3904968^2 + 2657028^2 .

It is a super-3 number, since 3×223085728738083 (a number of 41 digits) contains 333 as substring.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 5958484473 + ... + 5958488216.

It is an arithmetic number, because the mean of its divisors is an integer number (1120592665283).

Almost surely, 222308572873808 is an apocalyptic number.

It is an amenable number.

22308572873808 is an abundant number, since it is smaller than the sum of its proper divisors (44926987043172).

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

22308572873808 is a wasteful number, since it uses less digits than its factorization.

22308572873808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11916972716 (or 11916972707 counting only the distinct ones).

The product of its (nonzero) digits is 72253440, while the sum is 63.

The spelling of 22308572873808 in words is "twenty-two trillion, three hundred eight billion, five hundred seventy-two million, eight hundred seventy-three thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 11916972689 23833945378 35750918067 47667890756 71501836134 95335781512 107252754201 143003672268 154920644957 190671563024 214505508402 286007344536 309841289914 429011016804 464761934871 572014689072 619682579828 858022033608 929523869742 1239365159656 1394285804613 1716044067216 1859047739484 2478730319312 2788571609226 3718095478968 5577143218452 7436190957936 11154286436904 22308572873808