Search a number
-
+
1072184220 = 2232517220611
BaseRepresentation
bin111111111010000…
…011101110011100
32202201111121020200
4333322003232130
54143434343340
6254220343500
735366262342
oct7772035634
92681447220
101072184220
11500246968
1225b0a4b90
13141191c43
14a257b992
15641de330
hex3fe83b9c

1072184220 has 108 divisors (see below), whose sum is σ = 3455024664. Its totient is φ = 269084160.

The previous prime is 1072184219. The next prime is 1072184221. The reversal of 1072184220 is 224812701.

It is an interprime number because it is at equal distance from previous prime (1072184219) and next prime (1072184221).

It is a super-2 number, since 2×10721842202 = 2299158003234016800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1072184221) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 41715 + ... + 62325.

Almost surely, 21072184220 is an apocalyptic number.

1072184220 is a gapful number since it is divisible by the number (10) 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 1072184220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1727512332).

1072184220 is an abundant number, since it is smaller than the sum of its proper divisors (2382840444).

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

1072184220 is a wasteful number, since it uses less digits than its factorization.

1072184220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20660 (or 20638 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 1072184220 is about 32744.2242235176. The cubic root of 1072184220 is about 1023.5046114039.

Adding to 1072184220 its reverse (224812701), we get a palindrome (1296996921).

The spelling of 1072184220 in words is "one billion, seventy-two million, one hundred eighty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 289 306 340 510 578 612 765 867 1020 1156 1445 1530 1734 2601 2890 3060 3468 4335 5202 5780 8670 10404 13005 17340 20611 26010 41222 52020 61833 82444 103055 123666 185499 206110 247332 309165 350387 370998 412220 618330 700774 741996 927495 1051161 1236660 1401548 1751935 1854990 2102322 3153483 3503870 3709980 4204644 5255805 5956579 6306966 7007740 10511610 11913158 12613932 15767415 17869737 21023220 23826316 29782895 31534830 35739474 53609211 59565790 63069660 71478948 89348685 107218422 119131580 178697370 214436844 268046055 357394740 536092110 1072184220