Search a number
-
+
384402220 = 225233112687
BaseRepresentation
bin10110111010011…
…000001100101100
3222210022122201021
4112322120030230
51241401332340
6102051023524
712345236116
oct2672301454
9883278637
10384402220
11187a92094
12a889aba4
136183cb47
14390a43b6
1523b31e4a
hex16e9832c

384402220 has 48 divisors (see below), whose sum is σ = 845365248. Its totient is φ = 146548160.

The previous prime is 384402217. The next prime is 384402223. The reversal of 384402220 is 22204483.

It is an interprime number because it is at equal distance from previous prime (384402217) and next prime (384402223).

It is not an unprimeable number, because it can be changed into a prime (384402223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141717 + ... + 144403.

It is an arithmetic number, because the mean of its divisors is an integer number (17611776).

Almost surely, 2384402220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 384402220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422682624).

384402220 is an abundant number, since it is smaller than the sum of its proper divisors (460963028).

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

384402220 is a wasteful number, since it uses less digits than its factorization.

384402220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3030 (or 3028 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 384402220 is about 19606.1781079332. The cubic root of 384402220 is about 727.1019271350.

The spelling of 384402220 in words is "three hundred eighty-four million, four hundred two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 311 460 622 1244 1555 2687 3110 5374 6220 7153 10748 13435 14306 26870 28612 35765 53740 61801 71530 123602 143060 247204 309005 618010 835657 1236020 1671314 3342628 4178285 8356570 16713140 19220111 38440222 76880444 96100555 192201110 384402220