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2042333420 = 225176918693
BaseRepresentation
bin111100110111011…
…1000100011101100
312021100000021202112
41321232320203230
513140314132140
6534354143152
7101416355561
oct17156704354
95240007675
102042333420
11958931366
1248bb81ab8
1326717a01a
14155358868
15be475c65
hex79bb88ec

2042333420 has 48 divisors (see below), whose sum is σ = 4548283488. Its totient is φ = 767677440.

The previous prime is 2042333399. The next prime is 2042333509. The reversal of 2042333420 is 243332402.

It is a super-2 number, since 2×20423334202 = 8342251596897792800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 230594 + ... + 239286.

It is an arithmetic number, because the mean of its divisors is an integer number (94755906).

Almost surely, 22042333420 is an apocalyptic number.

2042333420 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 2042333420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2274141744).

2042333420 is an abundant number, since it is smaller than the sum of its proper divisors (2505950068).

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

2042333420 is a wasteful number, since it uses less digits than its factorization.

2042333420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9410 (or 9408 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 23.

The square root of 2042333420 is about 45192.1831736419. The cubic root of 2042333420 is about 1268.7485181375.

Adding to 2042333420 its reverse (243332402), we get a palindrome (2285665822).

The spelling of 2042333420 in words is "two billion, forty-two million, three hundred thirty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 691 1382 2764 3455 6910 8693 11747 13820 17386 23494 34772 43465 46988 58735 86930 117470 147781 173860 234940 295562 591124 738905 1477810 2955620 6006863 12013726 24027452 30034315 60068630 102116671 120137260 204233342 408466684 510583355 1021166710 2042333420