Search a number
-
+
381860220 = 223572633457
BaseRepresentation
bin10110110000101…
…011100101111100
3222121112111202010
4112300223211330
51240224011340
6101520331220
712314521050
oct2660534574
9877474663
10381860220
11186606265
12a7a73b10
136115cac1
1438a01c60
15237cdb80
hex16c2b97c

381860220 has 96 divisors (see below), whose sum is σ = 1226953728. Its totient is φ = 86925312.

The previous prime is 381860207. The next prime is 381860251. The reversal of 381860220 is 22068183.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 108732 + ... + 112188.

It is an arithmetic number, because the mean of its divisors is an integer number (12780768).

Almost surely, 2381860220 is an apocalyptic number.

381860220 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 381860220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613476864).

381860220 is an abundant number, since it is smaller than the sum of its proper divisors (845093508).

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

381860220 is a wasteful number, since it uses less digits than its factorization.

381860220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3739 (or 3737 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 381860220 is about 19541.2440750327. The cubic root of 381860220 is about 725.4956388885.

The spelling of 381860220 in words is "three hundred eighty-one million, eight hundred sixty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 263 420 526 789 1052 1315 1578 1841 2630 3156 3457 3682 3945 5260 5523 6914 7364 7890 9205 10371 11046 13828 15780 17285 18410 20742 22092 24199 27615 34570 36820 41484 48398 51855 55230 69140 72597 96796 103710 110460 120995 145194 207420 241990 290388 362985 483980 725970 909191 1451940 1818382 2727573 3636764 4545955 5455146 6364337 9091910 10910292 12728674 13637865 18183820 19093011 25457348 27275730 31821685 38186022 54551460 63643370 76372044 95465055 127286740 190930110 381860220