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225329056 = 2519487761
BaseRepresentation
bin11010110111000…
…11111110100000
3120200222220100121
431123203332200
5430141012211
634205330024
75404160011
oct1533437640
9520886317
10225329056
11106213067
1263566914
13378b5204
1421cd7008
1514bae271
hexd6e3fa0

225329056 has 48 divisors (see below), whose sum is σ = 468538560. Its totient is φ = 106375680.

The previous prime is 225329047. The next prime is 225329057. The reversal of 225329056 is 650923522.

It is a happy number.

It is a super-2 number, since 2×2253290562 = 101546366955702272, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (225329057) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 295716 + ... + 296476.

It is an arithmetic number, because the mean of its divisors is an integer number (9761220).

Almost surely, 2225329056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225329056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234269280).

225329056 is an abundant number, since it is smaller than the sum of its proper divisors (243209504).

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

225329056 is a wasteful number, since it uses less digits than its factorization.

225329056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1277 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 34.

The square root of 225329056 is about 15010.9645259723. The cubic root of 225329056 is about 608.5165566234.

The spelling of 225329056 in words is "two hundred twenty-five million, three hundred twenty-nine thousand, fifty-six".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 487 608 761 974 1522 1948 3044 3896 6088 7792 9253 12176 14459 15584 18506 24352 28918 37012 57836 74024 115672 148048 231344 296096 370607 462688 741214 1482428 2964856 5929712 7041533 11859424 14083066 28166132 56332264 112664528 225329056