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225918976 = 21413789
BaseRepresentation
bin11010111011101…
…00000000000000
3120202002212120111
431131310000000
5430313401401
634230121104
75412164623
oct1535640000
9522085514
10225918976
111065862a8
12637b0194
1337a6088a
142200bdba
1514c78e51
hexd774000

225918976 has 30 divisors (see below), whose sum is σ = 451856930. Its totient is φ = 112951296.

The previous prime is 225918971. The next prime is 225918977. The reversal of 225918976 is 679819522.

It can be written as a sum of positive squares in only one way, i.e., 224280576 + 1638400 = 14976^2 + 1280^2 .

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225918971) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 9490 + ... + 23278.

Almost surely, 2225918976 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 225918976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225928465).

225918976 is an abundant number, since it is smaller than the sum of its proper divisors (225937954).

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

225918976 is an frugal number, since it uses more digits than its factorization.

225918976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13817 (or 13791 counting only the distinct ones).

The product of its digits is 544320, while the sum is 49.

The square root of 225918976 is about 15030.6013186432. The cubic root of 225918976 is about 609.0471336638.

The spelling of 225918976 in words is "two hundred twenty-five million, nine hundred eighteen thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 13789 16384 27578 55156 110312 220624 441248 882496 1764992 3529984 7059968 14119936 28239872 56479744 112959488 225918976