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225477630 = 232571737569
BaseRepresentation
bin11010111000010…
…00001111111110
3120201021110011100
431130020033332
5430210241010
634212433530
75405346120
oct1534101776
9521243140
10225477630
11106304754
12636188a6
1337937a21
1421d35210
1514bdd2c0
hexd7083fe

225477630 has 192 divisors, whose sum is σ = 729855360. Its totient is φ = 47112192.

The previous prime is 225477589. The next prime is 225477631. The reversal of 225477630 is 36774522.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225477631) 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, 395986 + ... + 396554.

It is an arithmetic number, because the mean of its divisors is an integer number (3801330).

Almost surely, 2225477630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225477630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364927680).

225477630 is an abundant number, since it is smaller than the sum of its proper divisors (504377730).

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

225477630 is a wasteful number, since it uses less digits than its factorization.

225477630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 225477630 is about 15015.9125596815. The cubic root of 225477630 is about 608.6502719947.

The spelling of 225477630 in words is "two hundred twenty-five million, four hundred seventy-seven thousand, six hundred thirty".