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225433300 = 225216713499
BaseRepresentation
bin11010110111111…
…01011011010100
3120201012012100111
431123331123110
5430202331200
634211452404
75405102641
oct1533753324
9521165314
10225433300
11106284414
12635b7104
13379207b1
1421d22dc8
1514bd00ba
hexd6fd6d4

225433300 has 36 divisors (see below), whose sum is σ = 492156000. Its totient is φ = 89626720.

The previous prime is 225433283. The next prime is 225433301. The reversal of 225433300 is 3334522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225433301) 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, 9951 + ... + 23449.

It is an arithmetic number, because the mean of its divisors is an integer number (13671000).

Almost surely, 2225433300 is an apocalyptic number.

225433300 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 225433300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246078000).

225433300 is an abundant number, since it is smaller than the sum of its proper divisors (266722700).

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

225433300 is a wasteful number, since it uses less digits than its factorization.

225433300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13680 (or 13673 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 22.

The square root of 225433300 is about 15014.4363863583. The cubic root of 225433300 is about 608.6103815113.

Adding to 225433300 its reverse (3334522), we get a palindrome (228767822).

The spelling of 225433300 in words is "two hundred twenty-five million, four hundred thirty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 167 334 668 835 1670 3340 4175 8350 13499 16700 26998 53996 67495 134990 269980 337475 674950 1349900 2254333 4508666 9017332 11271665 22543330 45086660 56358325 112716650 225433300