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404503220 = 225117389283
BaseRepresentation
bin11000000111000…
…011101010110100
31001012010220002202
4120013003222310
51312023100340
6104045524032
713011135452
oct3007035264
91035126082
10404503220
11198371290
12b3573618
1365a5a224
143ba179d2
15257a2c15
hex181c3ab4

404503220 has 96 divisors (see below), whose sum is σ = 953285760. Its totient is φ = 142940160.

The previous prime is 404503213. The next prime is 404503243. The reversal of 404503220 is 22305404.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 404503192 and 404503201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1429199 + ... + 1429481.

It is an arithmetic number, because the mean of its divisors is an integer number (9930060).

Almost surely, 2404503220 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 404503220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476642880).

404503220 is an abundant number, since it is smaller than the sum of its proper divisors (548782540).

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

404503220 is a wasteful number, since it uses less digits than its factorization.

404503220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 404503220 is about 20112.2654119321. The cubic root of 404503220 is about 739.5609886912.

Adding to 404503220 its reverse (22305404), we get a palindrome (426808624).

The spelling of 404503220 in words is "four hundred four million, five hundred three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 73 89 110 146 178 220 283 292 356 365 445 566 730 803 890 979 1132 1415 1460 1606 1780 1958 2830 3113 3212 3916 4015 4895 5660 6226 6497 8030 9790 12452 12994 15565 16060 19580 20659 25187 25988 31130 32485 41318 50374 62260 64970 71467 82636 100748 103295 125935 129940 142934 206590 227249 251870 277057 285868 357335 413180 454498 503740 554114 714670 908996 1108228 1136245 1385285 1429340 1838651 2272490 2770570 3677302 4544980 5541140 7354604 9193255 18386510 20225161 36773020 40450322 80900644 101125805 202251610 404503220