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421432220 = 2251123372251
BaseRepresentation
bin11001000111101…
…000101110011100
31002100222222022202
4121013220232130
51330341312340
6105452431032
713305054236
oct3107505634
91070888282
10421432220
111a69842a0
12b9178478
13694068a1
143dd83256
1526ee8c15
hex191e8b9c

421432220 has 96 divisors (see below), whose sum is σ = 1035127296. Its totient is φ = 142560000.

The previous prime is 421432213. The next prime is 421432223. The reversal of 421432220 is 22234124.

421432220 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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 = 421432192 and 421432201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421432223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 186095 + ... + 188345.

It is an arithmetic number, because the mean of its divisors is an integer number (10782576).

Almost surely, 2421432220 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 421432220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517563648).

421432220 is an abundant number, since it is smaller than the sum of its proper divisors (613695076).

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

421432220 is a wasteful number, since it uses less digits than its factorization.

421432220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2331 (or 2329 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 421432220 is about 20528.8143836901. The cubic root of 421432220 is about 749.7375200016.

Adding to 421432220 its reverse (22234124), we get a palindrome (443666344).

The spelling of 421432220 in words is "four hundred twenty-one million, four hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 23 37 44 46 55 74 92 110 115 148 185 220 230 253 370 407 460 506 740 814 851 1012 1265 1628 1702 2035 2251 2530 3404 4070 4255 4502 5060 8140 8510 9004 9361 11255 17020 18722 22510 24761 37444 45020 46805 49522 51773 83287 93610 99044 103546 123805 166574 187220 207092 247610 258865 333148 416435 495220 517730 569503 832870 916157 1035460 1139006 1665740 1832314 1915601 2278012 2847515 3664628 3831202 4580785 5695030 7662404 9161570 9578005 11390060 18323140 19156010 21071611 38312020 42143222 84286444 105358055 210716110 421432220