Search a number
-
+
2042223320 = 235474572377
BaseRepresentation
bin111100110111001…
…1101101011011000
312021022210200201202
41321232131223120
513140302121240
6534351533332
7101415416564
oct17156355330
95238720652
102042223320
11958866675
1248bb2a248
1326713bb87
1415532a6a4
15be453315
hex79b9dad8

2042223320 has 64 divisors (see below), whose sum is σ = 4705015680. Its totient is φ = 797423616.

The previous prime is 2042223317. The next prime is 2042223347. The reversal of 2042223320 is 233222402.

It is a super-3 number, since 3×20422233203 (a number of 29 digits) contains 333 as substring.

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 = 2042223292 and 2042223301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 857972 + ... + 860348.

It is an arithmetic number, because the mean of its divisors is an integer number (73515870).

Almost surely, 22042223320 is an apocalyptic number.

2042223320 is a gapful number since it is divisible by the number (20) 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 2042223320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2352507840).

2042223320 is an abundant number, since it is smaller than the sum of its proper divisors (2662792360).

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

2042223320 is a wasteful number, since it uses less digits than its factorization.

2042223320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2892 (or 2888 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 2042223320 is about 45190.9650262085. The cubic root of 2042223320 is about 1268.7257187714.

Adding to 2042223320 its reverse (233222402), we get a palindrome (2275445722).

The spelling of 2042223320 in words is "two billion, forty-two million, two hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 47 94 188 235 376 457 470 914 940 1828 1880 2285 2377 3656 4570 4754 9140 9508 11885 18280 19016 21479 23770 42958 47540 85916 95080 107395 111719 171832 214790 223438 429580 446876 558595 859160 893752 1086289 1117190 2172578 2234380 4345156 4468760 5431445 8690312 10862890 21725780 43451560 51055583 102111166 204222332 255277915 408444664 510555830 1021111660 2042223320