Search a number
-
+
3022132020 = 2235194361651
BaseRepresentation
bin1011010000100010…
…0001001100110100
321210121200012202120
42310020201030310
522142131211040
61215514435540
7134614461345
oct26410411464
97717605676
103022132020
111310a07576
12704132bb0
133921631cb
142095280cc
1512a4b67d0
hexb4221334

3022132020 has 96 divisors (see below), whose sum is σ = 9114631680. Its totient is φ = 745718400.

The previous prime is 3022131997. The next prime is 3022132049. The reversal of 3022132020 is 202312203.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18195 + ... + 79845.

It is an arithmetic number, because the mean of its divisors is an integer number (94944080).

Almost surely, 23022132020 is an apocalyptic number.

3022132020 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 3022132020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4557315840).

3022132020 is an abundant number, since it is smaller than the sum of its proper divisors (6092499660).

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

3022132020 is a wasteful number, since it uses less digits than its factorization.

3022132020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61725 (or 61723 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 3022132020 is about 54973.9212718176. The cubic root of 3022132020 is about 1445.7875393997.

Adding to 3022132020 its reverse (202312203), we get a palindrome (3224444223).

The spelling of 3022132020 in words is "three billion, twenty-two million, one hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 43 57 60 76 86 95 114 129 172 190 215 228 258 285 380 430 516 570 645 817 860 1140 1290 1634 2451 2580 3268 4085 4902 8170 9804 12255 16340 24510 49020 61651 123302 184953 246604 308255 369906 616510 739812 924765 1171369 1233020 1849530 2342738 2650993 3514107 3699060 4685476 5301986 5856845 7028214 7952979 10603972 11713690 13254965 14056428 15905958 17570535 23427380 26509930 31811916 35141070 39764895 50368867 53019860 70282140 79529790 100737734 151106601 159059580 201475468 251844335 302213202 503688670 604426404 755533005 1007377340 1511066010 3022132020