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225024288 = 2533183911
BaseRepresentation
bin11010110100110…
…01100100100000
3120200102102021220
431122121210200
5430101234123
634155015040
75401450326
oct1532314440
9520372256
10225024288
11106025095
126343a480
1337809588
1421c57d16
1514b4dce3
hexd699920

225024288 has 96 divisors (see below), whose sum is σ = 617766912. Its totient is φ = 71635200.

The previous prime is 225024259. The next prime is 225024299. The reversal of 225024288 is 882420522.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 246553 + ... + 247463.

It is an arithmetic number, because the mean of its divisors is an integer number (6435072).

Almost surely, 2225024288 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 225024288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308883456).

225024288 is an abundant number, since it is smaller than the sum of its proper divisors (392742624).

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

225024288 is a wasteful number, since it uses less digits than its factorization.

225024288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

The square root of 225024288 is about 15000.8095781528. The cubic root of 225024288 is about 608.2420838843.

The spelling of 225024288 in words is "two hundred twenty-five million, twenty-four thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 83 93 96 124 166 186 248 249 332 372 496 498 664 744 911 992 996 1328 1488 1822 1992 2573 2656 2733 2976 3644 3984 5146 5466 7288 7719 7968 10292 10932 14576 15438 20584 21864 28241 29152 30876 41168 43728 56482 61752 75613 82336 84723 87456 112964 123504 151226 169446 225928 226839 247008 302452 338892 451856 453678 604904 677784 903712 907356 1209808 1355568 1814712 2344003 2419616 2711136 3629424 4688006 7032009 7258848 9376012 14064018 18752024 28128036 37504048 56256072 75008096 112512144 225024288