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4022295288 = 23311194991607
BaseRepresentation
bin1110111110111111…
…0101101011111000
3101101022122202211120
43233233311223320
531214201422123
61503043425240
7201450642264
oct35757655370
911338582746
104022295288
111784531a90
12943085220
134c14297ab
142a22b90a4
151881cb2e3
hexefbf5af8

4022295288 has 128 divisors (see below), whose sum is σ = 11577600000. Its totient is φ = 1151694720.

The previous prime is 4022295259. The next prime is 4022295289. The reversal of 4022295288 is 8825922204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4022295289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2502181 + ... + 2503787.

It is an arithmetic number, because the mean of its divisors is an integer number (90450000).

Almost surely, 24022295288 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 4022295288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5788800000).

4022295288 is an abundant number, since it is smaller than the sum of its proper divisors (7555304712).

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

4022295288 is a wasteful number, since it uses less digits than its factorization.

4022295288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2145 (or 2141 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 4022295288 is about 63421.5680033220. The cubic root of 4022295288 is about 1590.3448862234.

The spelling of 4022295288 in words is "four billion, twenty-two million, two hundred ninety-five thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 88 114 132 152 209 228 264 418 456 499 627 836 998 1254 1497 1607 1672 1996 2508 2994 3214 3992 4821 5016 5489 5988 6428 9481 9642 10978 11976 12856 16467 17677 18962 19284 21956 28443 30533 32934 35354 37924 38568 43912 53031 56886 61066 65868 70708 75848 91599 104291 106062 113772 122132 131736 141416 183198 208582 212124 227544 244264 312873 335863 366396 417164 424248 625746 671726 732792 801893 834328 1007589 1251492 1343452 1603786 2015178 2405679 2502984 2686904 3207572 4030356 4811358 6415144 8060712 8820823 9622716 15235967 17641646 19245432 26462469 30471934 35283292 45707901 52924938 60943868 70566584 91415802 105849876 121887736 167595637 182831604 211699752 335191274 365663208 502786911 670382548 1005573822 1340765096 2011147644 4022295288