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225056430 = 23256433889
BaseRepresentation
bin11010110101000…
…01011010101110
3120200111001101100
431122201122232
5430103301210
634155423530
75401643124
oct1532413256
9520431340
10225056430
11106047255
1263454ba6
133781b0b1
1421c65914
1514b585c0
hexd6a16ae

225056430 has 48 divisors (see below), whose sum is σ = 586207440. Its totient is φ = 59906304.

The previous prime is 225056399. The next prime is 225056431. The reversal of 225056430 is 34650522.

225056430 is a `hidden beast` number, since 22 + 50 + 564 + 30 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 225056394 and 225056403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225056431) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55926 + ... + 59814.

It is an arithmetic number, because the mean of its divisors is an integer number (12212655).

Almost surely, 2225056430 is an apocalyptic number.

225056430 is an abundant number, since it is smaller than the sum of its proper divisors (361151010).

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

225056430 is a wasteful number, since it uses less digits than its factorization.

225056430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4545 (or 4542 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 225056430 is about 15001.8808820761. The cubic root of 225056430 is about 608.2710425158.

The spelling of 225056430 in words is "two hundred twenty-five million, fifty-six thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 643 1286 1929 3215 3858 3889 5787 6430 7778 9645 11574 11667 19290 19445 23334 28935 35001 38890 57870 58335 70002 116670 175005 350010 2500627 5001254 7501881 12503135 15003762 22505643 25006270 37509405 45011286 75018810 112528215 225056430