Search a number
-
+
2319212226816 = 2832317272
BaseRepresentation
bin100001101111111011110…
…100100010100100000000
322012201021212222010022100
4201233323310202210000
5300444221312224231
64533233102510400
7326362145443452
oct41577364424400
98181255863270
102319212226816
11814632927491
1231558b595400
1313a9157a9014
14803714122d2
15404dc1981e6
hex21bfbd22900

2319212226816 has 81 divisors (see below), whose sum is σ = 6687071369251. Its totient is φ = 773046375936.

The previous prime is 2319212226769. The next prime is 2319212226817. The reversal of 2319212226816 is 6186222129132.

The square root of 2319212226816 is 1522896.

It is a perfect power (a square), and thus also a powerful number.

It is a nude number because it is divisible by every one of its digits.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2319212226817) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 73083145 + ... + 73114871.

Almost surely, 22319212226816 is an apocalyptic number.

2319212226816 is the 1522896-th square number.

It is an amenable number.

2319212226816 is an abundant number, since it is smaller than the sum of its proper divisors (4367859142435).

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

2319212226816 is an frugal number, since it uses more digits than its factorization.

2319212226816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63476 (or 31732 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The spelling of 2319212226816 in words is "two trillion, three hundred nineteen billion, two hundred twelve million, two hundred twenty-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 31727 63454 95181 126908 190362 253816 285543 380724 507632 571086 761448 1015264 1142172 1522896 2030528 2284344 3045792 4061056 4568688 6091584 8122112 9137376 12183168 18274752 24366336 36549504 73099008 1006602529 2013205058 3019807587 4026410116 6039615174 8052820232 9059422761 12079230348 16105640464 18118845522 24158460696 32211280928 36237691044 48316921392 64422561856 72475382088 96633842784 128845123712 144950764176 193267685568 257690247424 289901528352 386535371136 579803056704 773070742272 1159606113408 2319212226816