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425314100 = 225219322037
BaseRepresentation
bin11001010110011…
…100011100110100
31002122022012021002
4121112130130310
51332340022400
6110111542432
713353052541
oct3126343464
91078265232
10425314100
111a9095862
12ba52aa18
136a165763
14406b3bc8
1527513ed5
hex1959c734

425314100 has 36 divisors (see below), whose sum is σ = 927755724. Its totient is φ = 169236480.

The previous prime is 425314081. The next prime is 425314151. The reversal of 425314100 is 1413524.

It can be written as a sum of positive squares in 6 ways, for example, as 98644624 + 326669476 = 9932^2 + 18074^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8282 + ... + 30318.

Almost surely, 2425314100 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 425314100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463877862).

425314100 is an abundant number, since it is smaller than the sum of its proper divisors (502441624).

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

425314100 is a wasteful number, since it uses less digits than its factorization.

425314100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22244 (or 22237 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 425314100 is about 20623.1447650449. The cubic root of 425314100 is about 752.0324722850.

Adding to 425314100 its reverse (1413524), we get a palindrome (426727624).

The spelling of 425314100 in words is "four hundred twenty-five million, three hundred fourteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 193 386 772 965 1930 3860 4825 9650 19300 22037 44074 88148 110185 220370 440740 550925 1101850 2203700 4253141 8506282 17012564 21265705 42531410 85062820 106328525 212657050 425314100