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225484770 = 23573171289
BaseRepresentation
bin11010111000010…
…01111111100010
3120201021210221210
431130021333202
5430211003040
634212530550
75405406000
oct1534117742
9521253853
10225484770
1110630a055
1263620a56
133793b054
1421d37a70
1514be0480
hexd709fe2

225484770 has 128 divisors (see below), whose sum is σ = 668736000. Its totient is φ = 48470016.

The previous prime is 225484741. The next prime is 225484811. The reversal of 225484770 is 77484522.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 174286 + ... + 175574.

It is an arithmetic number, because the mean of its divisors is an integer number (5224500).

Almost surely, 2225484770 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225484770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334368000).

225484770 is an abundant number, since it is smaller than the sum of its proper divisors (443251230).

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

225484770 is a wasteful number, since it uses less digits than its factorization.

225484770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1337 (or 1323 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 39.

The square root of 225484770 is about 15016.1503055876. The cubic root of 225484770 is about 608.6566964562.

The spelling of 225484770 in words is "two hundred twenty-five million, four hundred eighty-four thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 30 34 35 42 49 51 70 85 98 102 105 119 147 170 210 238 245 255 294 343 357 490 510 595 686 714 735 833 1029 1190 1289 1470 1666 1715 1785 2058 2499 2578 3430 3570 3867 4165 4998 5145 5831 6445 7734 8330 9023 10290 11662 12495 12890 17493 18046 19335 21913 24990 27069 29155 34986 38670 43826 45115 54138 58310 63161 65739 87465 90230 109565 126322 131478 135345 153391 174930 189483 219130 270690 306782 315805 328695 378966 442127 460173 631610 657390 766955 884254 920346 947415 1073737 1326381 1533910 1894830 2147474 2210635 2300865 2652762 3221211 4421270 4601730 5368685 6442422 6631905 7516159 10737370 13263810 15032318 16106055 22548477 32212110 37580795 45096954 75161590 112742385 225484770