Search a number
-
+
10322264466 = 23229431094219
BaseRepresentation
bin10011001110100000…
…10100000110010010
3222122101011100212100
421213100110012102
5132114444430331
64424133541230
7513536541333
oct114720240622
928571140770
1010322264466
114417716088
122000aa4816
13c866b22c7
146dcc9028a
15406318ae6
hex267414192

10322264466 has 96 divisors (see below), whose sum is σ = 23897016000. Its totient is φ = 3214318464.

The previous prime is 10322264441. The next prime is 10322264479. The reversal of 10322264466 is 66446222301.

10322264466 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 2 + 2 + 644 + 6 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 10322264466.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2444505 + ... + 2448723.

It is an arithmetic number, because the mean of its divisors is an integer number (248927250).

Almost surely, 210322264466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10322264466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11948508000).

10322264466 is an abundant number, since it is smaller than the sum of its proper divisors (13574751534).

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

10322264466 is a wasteful number, since it uses less digits than its factorization.

10322264466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4408 (or 4405 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 10322264466 its reverse (66446222301), we get a palindrome (76768486767).

The spelling of 10322264466 in words is "ten billion, three hundred twenty-two million, two hundred sixty-four thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 18 29 43 58 86 87 109 129 174 218 258 261 327 387 522 654 774 981 1247 1962 2494 3161 3741 4219 4687 6322 7482 8438 9374 9483 11223 12657 14061 18966 22446 25314 28122 28449 37971 42183 56898 75942 84366 122351 135923 181417 244702 271846 362834 367053 407769 459871 544251 734106 815538 919742 1088502 1101159 1223307 1379613 1632753 2202318 2446614 2759226 3265506 4138839 5261093 8277678 10522186 13336259 15783279 19774453 26672518 31566558 39548906 40008777 47349837 59323359 80017554 94699674 118646718 120026331 177970077 240052662 355940154 573459137 1146918274 1720377411 3440754822 5161132233 10322264466