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225946476 = 22337312311
BaseRepresentation
bin11010111011110…
…10101101101100
3120202011021022000
431131322231230
5430320241401
634230452300
75412341040
oct1535725554
9522137260
10225946476
111065a4a28
1263804090
1337a70252
1422018020
1514c82186
hexd77ab6c

225946476 has 144 divisors (see below), whose sum is σ = 693987840. Its totient is φ = 62272800.

The previous prime is 225946471. The next prime is 225946481. The reversal of 225946476 is 674649522.

It is an interprime number because it is at equal distance from previous prime (225946471) and next prime (225946481).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225946471) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 726361 + ... + 726671.

It is an arithmetic number, because the mean of its divisors is an integer number (4819360).

Almost surely, 2225946476 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 225946476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346993920).

225946476 is an abundant number, since it is smaller than the sum of its proper divisors (468041364).

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

225946476 is a wasteful number, since it uses less digits than its factorization.

225946476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 354 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 225946476 is about 15031.5160911998. The cubic root of 225946476 is about 609.0718447600.

The spelling of 225946476 in words is "two hundred twenty-five million, nine hundred forty-six thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 31 36 42 54 62 63 84 93 108 124 126 186 189 217 252 279 311 372 378 434 558 622 651 756 837 868 933 961 1116 1244 1302 1674 1866 1922 1953 2177 2604 2799 2883 3348 3732 3844 3906 4354 5598 5766 5859 6531 6727 7812 8397 8649 8708 9641 11196 11532 11718 13062 13454 16794 17298 19282 19593 20181 23436 25947 26124 26908 28923 33588 34596 38564 39186 40362 51894 57846 58779 60543 67487 78372 80724 86769 103788 115692 117558 121086 134974 173538 181629 202461 235116 242172 260307 269948 298871 347076 363258 404922 520614 597742 607383 726516 809844 896613 1041228 1195484 1214766 1793226 1822149 2092097 2429532 2689839 3586452 3644298 4184194 5379678 6276291 7288596 8069517 8368388 10759356 12552582 16139034 18828873 25105164 32278068 37657746 56486619 75315492 112973238 225946476