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225789464964 = 223737197336821
BaseRepresentation
bin1101001001001000011…
…0011101000110000100
3210120210122201020122110
43102102012131012010
512144404100334324
6251420511501020
722212162533340
oct3222206350604
9716718636573
10225789464964
11878362a2a08
1237914527770
13183a428a30b
14acdd250620
155d175dc329
hex349219d184

225789464964 has 96 divisors (see below), whose sum is σ = 618708577536. Its totient is φ = 62734210560.

The previous prime is 225789464959. The next prime is 225789465059. The reversal of 225789464964 is 469464987522.

It is a junction number, because it is equal to n+sod(n) for n = 225789464895 and 225789464904.

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, 6113674 + ... + 6150494.

It is an arithmetic number, because the mean of its divisors is an integer number (6444881016).

Almost surely, 2225789464964 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 225789464964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309354288768).

225789464964 is an abundant number, since it is smaller than the sum of its proper divisors (392919112572).

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

225789464964 is a wasteful number, since it uses less digits than its factorization.

225789464964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38845 (or 38843 counting only the distinct ones).

The product of its digits is 209018880, while the sum is 66.

The spelling of 225789464964 in words is "two hundred twenty-five billion, seven hundred eighty-nine million, four hundred sixty-four thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 74 84 111 148 222 259 444 518 777 1036 1554 1973 3108 3946 5919 7892 11838 13811 23676 27622 36821 41433 55244 73001 73642 82866 110463 146002 147284 165732 219003 220926 257747 292004 438006 441852 511007 515494 773241 876012 1022014 1030988 1362377 1533021 1546482 2044028 2724754 3066042 3092964 4087131 5449508 6132084 8174262 9536639 16348524 19073278 28609917 38146556 57219834 72647833 114439668 145295666 217943499 290591332 435886998 508534831 871773996 1017069662 1525604493 2034139324 2687969821 3051208986 5375939642 6102417972 8063909463 10751879284 16127818926 18815788747 32255637852 37631577494 56447366241 75263154988 112894732482 225789464964