Search a number
-
+
3022242420 = 2235891673389
BaseRepresentation
bin1011010000100011…
…1100001001110100
321210121212211012110
42310020330021310
522142143224140
61215521051020
7134615431251
oct26410741164
97717784173
103022242420
111310a8250a
12704186a70
133921a1532
14209556428
1512a4d9380
hexb423c274

3022242420 has 96 divisors (see below), whose sum is σ = 8611142400. Its totient is φ = 791870464.

The previous prime is 3022242367. The next prime is 3022242427. The reversal of 3022242420 is 242422203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3022242427) 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, 890086 + ... + 893474.

It is an arithmetic number, because the mean of its divisors is an integer number (89699400).

Almost surely, 23022242420 is an apocalyptic number.

3022242420 is a gapful number since it is divisible by the number (30) 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 3022242420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4305571200).

3022242420 is an abundant number, since it is smaller than the sum of its proper divisors (5588899980).

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

3022242420 is a wasteful number, since it uses less digits than its factorization.

3022242420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3657 (or 3655 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 3022242420 is about 54974.9253751199. The cubic root of 3022242420 is about 1445.8051443002.

Adding to 3022242420 its reverse (242422203), we get a palindrome (3264664623).

The spelling of 3022242420 in words is "three billion, twenty-two million, two hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 89 167 178 267 334 356 445 501 534 668 835 890 1002 1068 1335 1670 1780 2004 2505 2670 3340 3389 5010 5340 6778 10020 10167 13556 14863 16945 20334 29726 33890 40668 44589 50835 59452 67780 74315 89178 101670 148630 178356 203340 222945 297260 301621 445890 565963 603242 891780 904863 1131926 1206484 1508105 1697889 1809726 2263852 2829815 3016210 3395778 3619452 4524315 5659630 6032420 6791556 8489445 9048630 11319260 16978890 18097260 33957780 50370707 100741414 151112121 201482828 251853535 302224242 503707070 604448484 755560605 1007414140 1511121210 3022242420