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225991350 = 233521379163
BaseRepresentation
bin11010111100001…
…01101010110110
3120202020112212000
431132011222312
5430323210400
634231440130
75412615624
oct1536055266
9522215760
10225991350
11106625712
1263826046
1337a877c0
142202a514
1514c90600
hexd785ab6

225991350 has 192 divisors, whose sum is σ = 683289600. Its totient is φ = 54587520.

The previous prime is 225991349. The next prime is 225991357. The reversal of 225991350 is 53199522.

It is a happy number.

225991350 is a `hidden beast` number, since 2 + 2 + 599 + 13 + 50 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225991357) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1386369 + ... + 1386531.

It is an arithmetic number, because the mean of its divisors is an integer number (3558800).

Almost surely, 2225991350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225991350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341644800).

225991350 is an abundant number, since it is smaller than the sum of its proper divisors (457298250).

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

225991350 is a wasteful number, since it uses less digits than its factorization.

225991350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 225991350 is about 15033.0086808995. The cubic root of 225991350 is about 609.1121635724.

The spelling of 225991350 in words is "two hundred twenty-five million, nine hundred ninety-one thousand, three hundred fifty".