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225449364 = 223719294871
BaseRepresentation
bin11010111000000…
…01010110010100
3120201020000101110
431130001112110
5430203334424
634212055020
75405200530
oct1534012624
9521200343
10225449364
11106295498
1263604470
1337927bba
1421d28bc0
1514bd4c29
hexd701594

225449364 has 96 divisors (see below), whose sum is σ = 654796800. Its totient is φ = 58907520.

The previous prime is 225449347. The next prime is 225449377. The reversal of 225449364 is 463944522.

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, 43849 + ... + 48719.

It is an arithmetic number, because the mean of its divisors is an integer number (6820800).

Almost surely, 2225449364 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 225449364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327398400).

225449364 is an abundant number, since it is smaller than the sum of its proper divisors (429347436).

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

225449364 is a wasteful number, since it uses less digits than its factorization.

225449364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4933 (or 4931 counting only the distinct ones).

The product of its digits is 207360, while the sum is 39.

The square root of 225449364 is about 15014.9713286440. The cubic root of 225449364 is about 608.6248373540.

The spelling of 225449364 in words is "two hundred twenty-five million, four hundred forty-nine thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 29 38 42 57 58 76 84 87 114 116 133 174 203 228 266 348 399 406 532 551 609 798 812 1102 1218 1596 1653 2204 2436 3306 3857 4871 6612 7714 9742 11571 14613 15428 19484 23142 29226 34097 46284 58452 68194 92549 102291 136388 141259 185098 204582 277647 282518 370196 409164 423777 555294 565036 647843 847554 988813 1110588 1295686 1695108 1943529 1977626 2591372 2683921 2966439 3887058 3955252 5367842 5932878 7774116 8051763 10735684 11865756 16103526 18787447 32207052 37574894 56362341 75149788 112724682 225449364