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225104320 = 2657100493
BaseRepresentation
bin11010110101011…
…01000111000000
3120200120111002001
431122231013000
5430111314240
634200433344
75402232550
oct1532550700
9520514061
10225104320
1110607a231
1263478854
1337836b2c
1421c79160
1514b6789a
hexd6ad1c0

225104320 has 56 divisors (see below), whose sum is σ = 612611424. Its totient is φ = 77177856.

The previous prime is 225104317. The next prime is 225104357. The reversal of 225104320 is 23401522.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48007 + ... + 52486.

Almost surely, 2225104320 is an apocalyptic number.

225104320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225104320 is an abundant number, since it is smaller than the sum of its proper divisors (387507104).

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

225104320 is a wasteful number, since it uses less digits than its factorization.

225104320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100517 (or 100507 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 225104320 is about 15003.4769303652. The cubic root of 225104320 is about 608.3141843392.

Adding to 225104320 its reverse (23401522), we get a palindrome (248505842).

The spelling of 225104320 in words is "two hundred twenty-five million, one hundred four thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 100493 200986 401972 502465 703451 803944 1004930 1406902 1607888 2009860 2813804 3215776 3517255 4019720 5627608 6431552 7034510 8039440 11255216 14069020 16078880 22510432 28138040 32157760 45020864 56276080 112552160 225104320