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225310000 = 245422531
BaseRepresentation
bin11010110110111…
…11010100110000
3120200221221012211
431123133110300
5430134410000
634205101504
75404050316
oct1533372460
9520857184
10225310000
111061aa813
1263557894
13378a9636
1421cd00b6
1514ba87ba
hexd6df530

225310000 has 50 divisors (see below), whose sum is σ = 545522252. Its totient is φ = 90120000.

The previous prime is 225309949. The next prime is 225310013. The reversal of 225310000 is 13522.

It is a tau number, because it is divible by the number of its divisors (50).

It is a super-2 number, since 2×2253100002 = 101529192200000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1266 + ... + 21265.

Almost surely, 2225310000 is an apocalyptic number.

225310000 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 225310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272761126).

225310000 is an abundant number, since it is smaller than the sum of its proper divisors (320212252).

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

225310000 is an equidigital number, since it uses as much as digits as its factorization.

225310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22559 (or 22538 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 225310000 is about 15010.3297765239. The cubic root of 225310000 is about 608.4994021285.

Adding to 225310000 its reverse (13522), we get a palindrome (225323522).

The spelling of 225310000 in words is "two hundred twenty-five million, three hundred ten 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 5000 10000 22531 45062 90124 112655 180248 225310 360496 450620 563275 901240 1126550 1802480 2253100 2816375 4506200 5632750 9012400 11265500 14081875 22531000 28163750 45062000 56327500 112655000 225310000