Search a number
-
+
4022834112 = 263311211639
BaseRepresentation
bin1110111111000111…
…1001001111000000
3101101100200010222000
43233301321033000
531214321142422
61503103144000
7201455345223
oct35761711700
911340603860
104022834112
11178486a8a0
129432a5000
134c1587b1b
142a23b95ba
15188285cac
hexefc793c0

4022834112 has 112 divisors (see below), whose sum is σ = 12901574400. Its totient is φ = 1219034880.

The previous prime is 4022834089. The next prime is 4022834119. The reversal of 4022834112 is 2114382204.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4022834119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86812 + ... + 124827.

Almost surely, 24022834112 is an apocalyptic number.

It is an amenable number.

4022834112 is an abundant number, since it is smaller than the sum of its proper divisors (8878740288).

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

4022834112 is a wasteful number, since it uses less digits than its factorization.

4022834112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211671 (or 211655 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 4022834112 is about 63425.8158165900. The cubic root of 4022834112 is about 1590.4158969002.

The spelling of 4022834112 in words is "four billion, twenty-two million, eight hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 132 144 176 192 198 216 264 288 297 352 396 432 528 576 594 704 792 864 1056 1188 1584 1728 2112 2376 3168 4752 6336 9504 19008 211639 423278 634917 846556 1269834 1693112 1904751 2328029 2539668 3386224 3809502 4656058 5079336 5714253 6772448 6984087 7619004 9312116 10158672 11428506 13544896 13968174 15238008 18624232 20317344 20952261 22857012 27936348 30476016 37248464 40634688 41904522 45714024 55872696 60952032 62856783 74496928 83809044 91428048 111745392 121904064 125713566 148993856 167618088 182856096 223490784 251427132 335236176 365712192 446981568 502854264 670472352 1005708528 1340944704 2011417056 4022834112