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225003776 = 2819167277
BaseRepresentation
bin11010110100101…
…00100100000000
3120200101101011012
431122110210000
5430100110101
634154340052
75401333454
oct1532244400
9520341135
10225003776
11106010738
126342a628
133780013a
1421c50664
1514b47bbb
hexd694900

225003776 has 72 divisors (see below), whose sum is σ = 477314880. Its totient is φ = 105560064.

The previous prime is 225003767. The next prime is 225003799. The reversal of 225003776 is 677300522.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 812150 + ... + 812426.

Almost surely, 2225003776 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 225003776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238657440).

225003776 is an abundant number, since it is smaller than the sum of its proper divisors (252311104).

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

225003776 is a wasteful number, since it uses less digits than its factorization.

225003776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 32.

The square root of 225003776 is about 15000.1258661386. The cubic root of 225003776 is about 608.2236019672.

The spelling of 225003776 in words is "two hundred twenty-five million, three thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 167 256 277 304 334 554 608 668 1108 1216 1336 2216 2432 2672 3173 4432 4864 5263 5344 6346 8864 10526 10688 12692 17728 21052 21376 25384 35456 42104 42752 46259 50768 70912 84208 92518 101536 168416 185036 203072 336832 370072 406144 673664 740144 812288 878921 1347328 1480288 1757842 2960576 3515684 5921152 7031368 11842304 14062736 28125472 56250944 112501888 225003776