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23214311104 = 261723473617
BaseRepresentation
bin10101100111101011…
…100100011011000000
32012220211211012011011
4111213223210123000
5340020330423404
614355311130304
71451162250205
oct254753443300
965824735134
1023214311104
119932967586
1245ba513994
13225c5b737a
1411a3157cac
1590d044604
hex567ae46c0

23214311104 has 84 divisors (see below), whose sum is σ = 49089646296. Its totient is φ = 10889887744.

The previous prime is 23214311063. The next prime is 23214311119. The reversal of 23214311104 is 40111341232.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6416304 + ... + 6419920.

Almost surely, 223214311104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23214311104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24544823148).

23214311104 is an abundant number, since it is smaller than the sum of its proper divisors (25875335192).

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

23214311104 is a wasteful number, since it uses less digits than its factorization.

23214311104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4010 (or 3983 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 23214311104 its reverse (40111341232), we get a palindrome (63325652336).

The spelling of 23214311104 in words is "twenty-three billion, two hundred fourteen million, three hundred eleven thousand, one hundred four".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 289 347 544 578 694 1088 1156 1388 2312 2776 3617 4624 5552 5899 7234 9248 11104 11798 14468 18496 22208 23596 28936 47192 57872 61489 94384 100283 115744 122978 188768 200566 231488 245956 377536 401132 491912 802264 983824 1045313 1255099 1604528 1967648 2090626 2510198 3209056 3935296 4181252 5020396 6418112 8362504 10040792 16725008 20081584 21336683 33450016 40163168 42673366 66900032 80326336 85346732 170693464 341386928 362723611 682773856 725447222 1365547712 1450894444 2901788888 5803577776 11607155552 23214311104