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225230000 = 2454101223
BaseRepresentation
bin11010110110010…
…11110010110000
3120200210212110212
431123023302300
5430124330000
634203243252
75403265142
oct1533136260
9520725425
10225230000
111061556a6
1263519528
133787c0b8
1421cacc92
1514b8ec35
hexd6cbcb0

225230000 has 100 divisors (see below), whose sum is σ = 553172928. Its totient is φ = 88800000.

The previous prime is 225229987. The next prime is 225230011. The reversal of 225230000 is 32522.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1009889 + ... + 1010111.

Almost surely, 2225230000 is an apocalyptic number.

225230000 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 225230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276586464).

225230000 is an abundant number, since it is smaller than the sum of its proper divisors (327942928).

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

225230000 is a wasteful number, since it uses less digits than its factorization.

225230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 225230000 is about 15007.6647084082. The cubic root of 225230000 is about 608.4273743818.

Adding to 225230000 its reverse (32522), we get a palindrome (225262522).

The spelling of 225230000 in words is "two hundred twenty-five million, two hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 101 125 200 202 223 250 400 404 446 500 505 625 808 892 1000 1010 1115 1250 1616 1784 2000 2020 2230 2500 2525 3568 4040 4460 5000 5050 5575 8080 8920 10000 10100 11150 12625 17840 20200 22300 22523 25250 27875 40400 44600 45046 50500 55750 63125 89200 90092 101000 111500 112615 126250 139375 180184 202000 223000 225230 252500 278750 360368 446000 450460 505000 557500 563075 900920 1010000 1115000 1126150 1801840 2230000 2252300 2815375 4504600 5630750 9009200 11261500 14076875 22523000 28153750 45046000 56307500 112615000 225230000