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225350000 = 24554507
BaseRepresentation
bin11010110111010…
…01000101110000
3120201000222002022
431123221011300
5430142200000
634210011012
75404305041
oct1533510560
9521028068
10225350000
11106227877
1263576a68
13378c18c5
1421d008c8
1514bb5585
hexd6e9170

225350000 has 60 divisors (see below), whose sum is σ = 545855688. Its totient is φ = 90120000.

The previous prime is 225349991. The next prime is 225350003. The reversal of 225350000 is 53522.

225350000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225350003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47747 + ... + 52253.

Almost surely, 2225350000 is an apocalyptic number.

225350000 is a gapful number since it is divisible by the number (20) 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 225350000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272927844).

225350000 is an abundant number, since it is smaller than the sum of its proper divisors (320505688).

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

225350000 is an frugal number, since it uses more digits than its factorization.

225350000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4540 (or 4514 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 17.

The square root of 225350000 is about 15011.6621331550. The cubic root of 225350000 is about 608.5354096084.

The spelling of 225350000 in words is "two hundred twenty-five million, three hundred fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 3125 4507 5000 6250 9014 10000 12500 18028 22535 25000 36056 45070 50000 72112 90140 112675 180280 225350 360560 450700 563375 901400 1126750 1802800 2253500 2816875 4507000 5633750 9014000 11267500 14084375 22535000 28168750 45070000 56337500 112675000 225350000