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404412220 = 225233723761
BaseRepresentation
bin11000000110101…
…101011100111100
31001011222021021101
4120012231130330
51312012142340
6104043542444
713010306242
oct3006553474
91034867241
10404412220
11198309983
12b352aa24
1365a27994
143b9d2792
1525785c9a
hex181ad73c

404412220 has 48 divisors (see below), whose sum is σ = 910179648. Its totient is φ = 150543360.

The previous prime is 404412209. The next prime is 404412223. The reversal of 404412220 is 22214404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404412223) 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, 5140 + ... + 28900.

It is an arithmetic number, because the mean of its divisors is an integer number (18962076).

Almost surely, 2404412220 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 404412220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455089824).

404412220 is an abundant number, since it is smaller than the sum of its proper divisors (505767428).

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

404412220 is a wasteful number, since it uses less digits than its factorization.

404412220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23830 (or 23828 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 404412220 is about 20110.0029835900. The cubic root of 404412220 is about 739.5055255173.

Adding to 404412220 its reverse (22214404), we get a palindrome (426626624).

The spelling of 404412220 in words is "four hundred four million, four hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 37 46 74 92 115 148 185 230 370 460 740 851 1702 3404 4255 8510 17020 23761 47522 95044 118805 237610 475220 546503 879157 1093006 1758314 2186012 2732515 3516628 4395785 5465030 8791570 10930060 17583140 20220611 40441222 80882444 101103055 202206110 404412220