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4225231400 = 2352131985531
BaseRepresentation
bin1111101111010111…
…1110101000101000
3101220110111222211212
43323311332220220
532123124401100
61535133212252
7206463605615
oct37365765050
911813458755
104225231400
11187903a985
1299b031088
135244a1330
142c122350c
1519ae15635
hexfbd7ea28

4225231400 has 96 divisors (see below), whose sum is σ = 11136266400. Its totient is φ = 1477958400.

The previous prime is 4225231393. The next prime is 4225231403. The reversal of 4225231400 is 41325224.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4225231403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6635 + ... + 92165.

It is an arithmetic number, because the mean of its divisors is an integer number (116002775).

Almost surely, 24225231400 is an apocalyptic number.

4225231400 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 4225231400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5568133200).

4225231400 is an abundant number, since it is smaller than the sum of its proper divisors (6911035000).

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

4225231400 is a wasteful number, since it uses less digits than its factorization.

4225231400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85579 (or 85570 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 4225231400 is about 65001.7799756284. The cubic root of 4225231400 is about 1616.6530757823.

Adding to 4225231400 its reverse (41325224), we get a palindrome (4266556624).

The spelling of 4225231400 in words is "four billion, two hundred twenty-five million, two hundred thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 19 20 25 26 38 40 50 52 65 76 95 100 104 130 152 190 200 247 260 325 380 475 494 520 650 760 950 988 1235 1300 1900 1976 2470 2600 3800 4940 6175 9880 12350 24700 49400 85531 171062 342124 427655 684248 855310 1111903 1625089 1710620 2138275 2223806 3250178 3421240 4276550 4447612 5559515 6500356 8125445 8553100 8895224 11119030 13000712 16250890 17106200 21126157 22238060 27797575 32501780 40627225 42252314 44476120 55595150 65003560 81254450 84504628 105630785 111190300 162508900 169009256 211261570 222380600 325017800 422523140 528153925 845046280 1056307850 2112615700 4225231400