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225108352 = 2772191889
BaseRepresentation
bin11010110101011…
…10000110000000
3120200120200121101
431122232012000
5430111431402
634200504144
75402250400
oct1532560600
9520520541
10225108352
11106082267
126347b054
1337838911
1421c7a800
1514b68b87
hexd6ae180

225108352 has 96 divisors (see below), whose sum is σ = 549423000. Its totient is φ = 91348992.

The previous prime is 225108347. The next prime is 225108413. The reversal of 225108352 is 253801522.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 225108352.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 118224 + ... + 120112.

Almost surely, 2225108352 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 225108352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274711500).

225108352 is an abundant number, since it is smaller than the sum of its proper divisors (324314648).

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

225108352 is a wasteful number, since it uses less digits than its factorization.

225108352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1936 (or 1917 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 225108352 is about 15003.6112986174. The cubic root of 225108352 is about 608.3178162969.

Adding to 225108352 its reverse (253801522), we get a palindrome (478909874).

The spelling of 225108352 in words is "two hundred twenty-five million, one hundred eight thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 49 56 64 76 98 112 128 133 152 196 224 266 304 392 448 532 608 784 896 931 1064 1216 1568 1862 1889 2128 2432 3136 3724 3778 4256 6272 7448 7556 8512 13223 14896 15112 17024 26446 29792 30224 35891 52892 59584 60448 71782 92561 105784 119168 120896 143564 185122 211568 241792 251237 287128 370244 423136 502474 574256 740488 846272 1004948 1148512 1480976 1692544 1758659 2009896 2297024 2961952 3517318 4019792 4594048 5923904 7034636 8039584 11847808 14069272 16079168 28138544 32158336 56277088 112554176 225108352