Search a number
-
+
4022331320 = 235729495361
BaseRepresentation
bin1110111110111111…
…1110011110111000
3101101022201121021002
43233233332132320
531214204100240
61503044304132
7201451152320
oct35757763670
911338647232
104022331320
111784557067
129430a2048
134c1440007
142a22c8280
151881d6d15
hexefbfe7b8

4022331320 has 64 divisors (see below), whose sum is σ = 10699819200. Its totient is φ = 1331527680.

The previous prime is 4022331259. The next prime is 4022331329. The reversal of 4022331320 is 231332204.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4022331292 and 4022331301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4022331329) 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, 239561 + ... + 255800.

It is an arithmetic number, because the mean of its divisors is an integer number (167184675).

Almost surely, 24022331320 is an apocalyptic number.

4022331320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4022331320 is an abundant number, since it is smaller than the sum of its proper divisors (6677487880).

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

4022331320 is a wasteful number, since it uses less digits than its factorization.

4022331320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495408 (or 495404 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 4022331320 is about 63421.8520700870. The cubic root of 4022331320 is about 1590.3496350158.

Adding to 4022331320 its reverse (231332204), we get a palindrome (4253663524).

The spelling of 4022331320 in words is "four billion, twenty-two million, three hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 29 35 40 56 58 70 116 140 145 203 232 280 290 406 580 812 1015 1160 1624 2030 4060 8120 495361 990722 1981444 2476805 3467527 3962888 4953610 6935054 9907220 13870108 14365469 17337635 19814440 27740216 28730938 34675270 57461876 69350540 71827345 100558283 114923752 138701080 143654690 201116566 287309380 402233132 502791415 574618760 804466264 1005582830 2011165660 4022331320