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225740328 = 233114671831
BaseRepresentation
bin11010111010010…
…00011000101000
3120201202210111220
431131020120220
5430242142303
634222222040
75410522032
oct1535103050
9521683456
10225740328
11106474060
1263724920
13379ca478
1421da2c52
1514c41053
hexd748628

225740328 has 64 divisors (see below), whose sum is σ = 617310720. Its totient is φ = 68222400.

The previous prime is 225740299. The next prime is 225740351. The reversal of 225740328 is 823047522.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 122373 + ... + 124203.

It is an arithmetic number, because the mean of its divisors is an integer number (9645480).

Almost surely, 2225740328 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 225740328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308655360).

225740328 is an abundant number, since it is smaller than the sum of its proper divisors (391570392).

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

225740328 is a wasteful number, since it uses less digits than its factorization.

225740328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2318 (or 2314 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 225740328 is about 15024.6573338629. The cubic root of 225740328 is about 608.8865543468.

The spelling of 225740328 in words is "two hundred twenty-five million, seven hundred forty thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 467 934 1401 1831 1868 2802 3662 3736 5137 5493 5604 7324 10274 10986 11208 14648 15411 20141 20548 21972 30822 40282 41096 43944 60423 61644 80564 120846 123288 161128 241692 483384 855077 1710154 2565231 3420308 5130462 6840616 9405847 10260924 18811694 20521848 28217541 37623388 56435082 75246776 112870164 225740328