Search a number
-
+
404224110 = 232553831021
BaseRepresentation
bin11000000101111…
…111100001101110
31001011121201020100
4120011333201232
51311440132420
6104035531530
713005563643
oct3005774156
91034551210
10404224110
111981a0614
12b3459ba6
1365990184
143b983dca
152574a190
hex1817f86e

404224110 has 96 divisors (see below), whose sum is σ = 1084775328. Its totient is φ = 104382720.

The previous prime is 404224099. The next prime is 404224129. The reversal of 404224110 is 11422404.

It is a super-2 number, since 2×4042241102 = 326794262210584200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 395400 + ... + 396420.

It is an arithmetic number, because the mean of its divisors is an integer number (11299743).

Almost surely, 2404224110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404224110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542387664).

404224110 is an abundant number, since it is smaller than the sum of its proper divisors (680551218).

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

404224110 is a wasteful number, since it uses less digits than its factorization.

404224110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170 (or 1167 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 404224110 is about 20105.3254139295. The cubic root of 404224110 is about 739.3908488321.

Adding to 404224110 its reverse (11422404), we get a palindrome (415646514).

The spelling of 404224110 in words is "four hundred four million, two hundred twenty-four thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 53 83 90 106 159 166 249 265 318 415 477 498 530 747 795 830 954 1021 1245 1494 1590 2042 2385 2490 3063 3735 4399 4770 5105 6126 7470 8798 9189 10210 13197 15315 18378 21995 26394 30630 39591 43990 45945 54113 65985 79182 84743 91890 108226 131970 162339 169486 197955 254229 270565 324678 395910 423715 487017 508458 541130 762687 811695 847430 974034 1271145 1525374 1623390 2435085 2542290 3813435 4491379 4870170 7626870 8982758 13474137 22456895 26948274 40422411 44913790 67370685 80844822 134741370 202112055 404224110