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423245200 = 24527712129
BaseRepresentation
bin11001001110100…
…011010110010000
31002111102002021011
4121032203112100
51331322321300
6105555340304
713326345010
oct3116432620
91074362234
10423245200
111a7a02424
12b98b1694
13698bcb61
14402d5c40
1527255eba
hex193a3590

423245200 has 120 divisors (see below), whose sum is σ = 1179031680. Its totient is φ = 143001600.

The previous prime is 423245189. The next prime is 423245203. The reversal of 423245200 is 2542324.

It is not an unprimeable number, because it can be changed into a prime (423245203) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 197736 + ... + 199864.

It is an arithmetic number, because the mean of its divisors is an integer number (9825264).

Almost surely, 2423245200 is an apocalyptic number.

423245200 is a gapful number since it is divisible by the number (40) 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 423245200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589515840).

423245200 is an abundant number, since it is smaller than the sum of its proper divisors (755786480).

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

423245200 is a wasteful number, since it uses less digits than its factorization.

423245200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2225 (or 2214 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 423245200 is about 20572.9239535852. The cubic root of 423245200 is about 750.8110928919.

Adding to 423245200 its reverse (2542324), we get a palindrome (425787524).

It can be divided in two parts, 42324 and 5200, that added together give a square (47524 = 2182).

The spelling of 423245200 in words is "four hundred twenty-three million, two hundred forty-five thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 71 80 100 112 140 142 175 200 280 284 350 355 400 497 560 568 700 710 994 1136 1400 1420 1775 1988 2129 2485 2800 2840 3550 3976 4258 4970 5680 7100 7952 8516 9940 10645 12425 14200 14903 17032 19880 21290 24850 28400 29806 34064 39760 42580 49700 53225 59612 74515 85160 99400 106450 119224 149030 151159 170320 198800 212900 238448 298060 302318 372575 425800 596120 604636 745150 755795 851600 1058113 1192240 1209272 1490300 1511590 2116226 2418544 2980600 3023180 3778975 4232452 5290565 5961200 6046360 7557950 8464904 10581130 12092720 15115900 16929808 21162260 26452825 30231800 42324520 52905650 60463600 84649040 105811300 211622600 423245200