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2042323220 = 2257173172707
BaseRepresentation
bin111100110111011…
…0110000100010100
312021022222202202202
41321232312010110
513140313320340
6534354024032
7101416314050
oct17156660424
95238882682
102042323220
11958924733
1248bb78018
132671754a2
14155354c60
15be472c15
hex79bb6114

2042323220 has 96 divisors (see below), whose sum is σ = 5208198912. Its totient is φ = 656713728.

The previous prime is 2042323211. The next prime is 2042323223. The reversal of 2042323220 is 223232402.

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 = 2042323192 and 2042323201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042323223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 753107 + ... + 755813.

It is an arithmetic number, because the mean of its divisors is an integer number (54252072).

Almost surely, 22042323220 is an apocalyptic number.

2042323220 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 2042323220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2604099456).

2042323220 is an abundant number, since it is smaller than the sum of its proper divisors (3165875692).

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

2042323220 is a wasteful number, since it uses less digits than its factorization.

2042323220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3057 (or 3055 counting only the distinct ones).

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

The square root of 2042323220 is about 45192.0703221262. The cubic root of 2042323220 is about 1268.7464059691.

Adding to 2042323220 its reverse (223232402), we get a palindrome (2265555622).

The spelling of 2042323220 in words is "two billion, forty-two million, three hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 238 317 340 476 595 634 1190 1268 1585 2219 2380 2707 3170 4438 5389 5414 6340 8876 10778 10828 11095 13535 18949 21556 22190 26945 27070 37723 37898 44380 46019 53890 54140 75446 75796 92038 94745 107780 150892 184076 188615 189490 230095 322133 377230 378980 460190 644266 754460 858119 920380 1288532 1610665 1716238 3221330 3432476 4290595 6006833 6442660 8581190 12013666 14588023 17162380 24027332 29176046 30034165 58352092 60068330 72940115 102116161 120136660 145880230 204232322 291760460 408464644 510580805 1021161610 2042323220