Search a number
-
+
22633953864 = 23331613491429
BaseRepresentation
bin10101000101000101…
…101011101001001000
32011102101202222200120
4111011011223221020
5332323243010424
614221540103240
71430614301454
oct250505535110
964371688616
1022633953864
1196653055a5
124478094b20
1321992a8412
14114a045664
158c7106a79
hex54516ba48

22633953864 has 128 divisors (see below), whose sum is σ = 59579520000. Its totient is φ = 7155993600.

The previous prime is 22633953847. The next prime is 22633953913. The reversal of 22633953864 is 46835933622.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15838302 + ... + 15839730.

It is an arithmetic number, because the mean of its divisors is an integer number (465465000).

Almost surely, 222633953864 is an apocalyptic number.

22633953864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22633953864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29789760000).

22633953864 is an abundant number, since it is smaller than the sum of its proper divisors (36945566136).

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

22633953864 is a wasteful number, since it uses less digits than its factorization.

22633953864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1879 (or 1875 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 51.

The spelling of 22633953864 in words is "twenty-two billion, six hundred thirty-three million, nine hundred fifty-three thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 31 61 62 93 122 124 183 186 244 248 349 366 372 488 698 732 744 1047 1396 1429 1464 1891 2094 2792 2858 3782 4188 4287 5673 5716 7564 8376 8574 10819 11346 11432 15128 17148 21289 21638 22692 32457 34296 42578 43276 44299 45384 63867 64914 85156 86552 87169 88598 127734 129828 132897 170312 174338 177196 255468 259656 261507 265794 348676 354392 498721 510936 523014 531588 659959 697352 997442 1046028 1063176 1319918 1496163 1979877 1994884 2092056 2639836 2702239 2992326 3959754 3989768 5279672 5404478 5984652 7919508 8106717 10808956 11969304 15460351 15839016 16213434 21617912 30421981 30920702 32426868 46381053 60843962 61841404 64853736 91265943 92762106 121687924 123682808 182531886 185524212 243375848 365063772 371048424 730127544 943081411 1886162822 2829244233 3772325644 5658488466 7544651288 11316976932 22633953864