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225130644 = 223337531063
BaseRepresentation
bin11010110101100…
…11100010010100
3120200121211012000
431122303202110
5430113140034
634201155300
75402402364
oct1532634224
9520554160
10225130644
11106097a92
126348bb30
1337845acb
1421c849a4
1514b70599
hexd6b3894

225130644 has 96 divisors (see below), whose sum is σ = 611331840. Its totient is φ = 71570304.

The previous prime is 225130637. The next prime is 225130657. The reversal of 225130644 is 446031522.

225130644 is a `hidden beast` number, since 2 + 2 + 5 + 13 + 0 + 644 = 666.

225130644 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 211257 + ... + 212319.

It is an arithmetic number, because the mean of its divisors is an integer number (6368040).

Almost surely, 2225130644 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 225130644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305665920).

225130644 is an abundant number, since it is smaller than the sum of its proper divisors (386201196).

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

225130644 is a wasteful number, since it uses less digits than its factorization.

225130644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 225130644 is about 15004.3541680407. The cubic root of 225130644 is about 608.3378957728.

The spelling of 225130644 in words is "two hundred twenty-five million, one hundred thirty thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 53 54 74 106 108 111 148 159 212 222 318 333 444 477 636 666 954 999 1063 1332 1431 1908 1961 1998 2126 2862 3189 3922 3996 4252 5724 5883 6378 7844 9567 11766 12756 17649 19134 23532 28701 35298 38268 39331 52947 56339 57402 70596 78662 105894 112678 114804 117993 157324 169017 211788 225356 235986 338034 353979 471972 507051 676068 707958 1014102 1061937 1415916 1521153 2028204 2084543 2123874 3042306 4169086 4247748 6084612 6253629 8338172 12507258 18760887 25014516 37521774 56282661 75043548 112565322 225130644