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225316350 = 233527113211
BaseRepresentation
bin11010110111000…
…00110111111110
3120200222020221000
431123200313332
5430140110400
634205151130
75404104660
oct1533406776
9520866830
10225316350
11106204566
126355b4a6
13378ac4ac
1421cd2530
1514baa600
hexd6e0dfe

225316350 has 192 divisors, whose sum is σ = 719239680. Its totient is φ = 50803200.

The previous prime is 225316327. The next prime is 225316369. The reversal of 225316350 is 53613522.

225316350 is a `hidden beast` number, since 2 + 25 + 3 + 1 + 635 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1067745 + ... + 1067955.

It is an arithmetic number, because the mean of its divisors is an integer number (3746040).

Almost surely, 2225316350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225316350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359619840).

225316350 is an abundant number, since it is smaller than the sum of its proper divisors (493923330).

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

225316350 is a wasteful number, since it uses less digits than its factorization.

225316350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 225316350 is about 15010.5412960359. The cubic root of 225316350 is about 608.5051186005.

Adding to 225316350 its reverse (53613522), we get a palindrome (278929872).

The spelling of 225316350 in words is "two hundred twenty-five million, three hundred sixteen thousand, three hundred fifty".