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225230544 = 24347113761
BaseRepresentation
bin11010110110010…
…11111011010000
3120200210220020000
431123023323100
5430124334134
634203250000
75403266550
oct1533137320
9520726200
10225230544
11106156050
1263519900
133787c416
1421cad160
1514b8ee99
hexd6cbed0

225230544 has 400 divisors, whose sum is σ = 848386176. Its totient is φ = 55987200.

The previous prime is 225230471. The next prime is 225230557. The reversal of 225230544 is 445032522.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3692274 + ... + 3692334.

Almost surely, 2225230544 is an apocalyptic number.

225230544 is a gapful number since it is divisible by the number (24) 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 225230544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424193088).

225230544 is an abundant number, since it is smaller than the sum of its proper divisors (623155632).

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

225230544 is a wasteful number, since it uses less digits than its factorization.

225230544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 225230544 is about 15007.6828324695. The cubic root of 225230544 is about 608.4278642281.

The spelling of 225230544 in words is "two hundred twenty-five million, two hundred thirty thousand, five hundred forty-four".